the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower​

Answers

Answer 1

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the  distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]

The height of the tower is 30.51 meters


Related Questions

A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answers

Answer:

2 pi •10•210

Step-by-step explanation:

Khan academy

What is the perimeter of a square with side length (2x-3)?

Answers

Answer:

Perimeter = 8x - 12

Step-by-step explanation:

The perimeter of a square is:

p = 4(side length)

on this case:

p = 4(2x-3)

p = 4*2x + 4*-3

p = 8x - 12

Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.

This is to check to make sure that A is in the right place, since it was drawn using the arcs.

Using a straightedge ensures that there is a line passes through A and Y.

Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.

This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answers

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Simplify. Can you explain it also?
[tex] \frac{9 {c}^{3} {de}^{2} }{12 {c}^{2}d {e}^{3} }[/tex]

Answers

Answer:

The answer is

[tex] \frac{3c}{4e}[/tex]

Step-by-step explanation:

[tex] \frac{9 {c}^{3}d {e}^{2} }{12 {c}^{2} d {e}^{3} } [/tex]

To solve the fraction reduce the fraction with d

That's we have

[tex] \frac{9 {c}^{3} {e}^{2} }{12 {c}^{2} {e}^{3} } [/tex]

Next simplify the expression using the rules of indices to simplify the letters in the fraction

For c

Since they are dividing we subtract the exponents

We have

[tex] {c}^{3} \div {c}^{2} = {c}^{3 - 2} = c^{1} = c[/tex]

For e

[tex]e^{2} \div {e}^{3} = e^{2 - 3} = {e}^{ - 1} = \frac{1}{e} [/tex]

Substituting them into the expression we have

[tex] \frac{9c}{12e} [/tex]

Reduce the fraction by 3

We have the final answer as

[tex] \frac{3c}{4e} [/tex]

Hope this helps you

How many times larger is the value of
86,000,000 than 8,600?

Answers

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.


In comparing two distributions, which attribute would you not compare?
A. Shape
B. Center
C. Marginal frequency
D. Spread

Answers

Answer:

The correct option is;

C. Marginal frequency

Step-by-step explanation:

The objective of comparison of two distributions is to check the significant difference from each other

The general measures used to compare the difference between distributions are the measures of centers such as the mean, the measures of spread such as the standard deviation and the shape of the compared distribution curves

Marginal frequencies are the values found in the total row and total column portion of a two way frequency distribution table

The marginal frequency is used to calculate the marginal relative frequency

The values of the marginal frequency, which is a sum, does not characterize the details of a distribution to a large extent.

Answer:

C. Marginal frequency

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.


Use digits to write the value of the 6 in this number.


672,180

Answers

Six hundred thousand

Hope it helps :)

Jess receives a $15000 salary for working as an engineer. If Jess has to spend $6000 of her salary on expenses each year, then what percent of Jess's money does she have to spend? Round your answer to the nearest whole number if necessary.

Answers

Answer:

Jess will have to spend 40% of her salary

Step-by-step explanation:

Jess salary = $15,000

Jess expenses = $6,000

what percent of Jess's money does she have to spend

Percentage of Jess expenses = Jess expenses / Total salary × 100

= 6,000 / 15,000 × 100

= 0.4 × 100

= 40%

Jess will have to spend 40% of her salary

90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.

Answers

Answer:

area of polygon = 88 sq. units

Step-by-step explanation:

lets make it simple, short and accurate.

area of polygon = total area - total area of triangles

total area = 11 * 12 = 132

triangle 1 = 1/2 * 5 * 5 = 12.5

triangle 2 = 1/2 * 3 * 6 = 9

triangle 3 = 1/2 * 3 * 8 = 12

triangle 4 = 1/2 * 3 * 7 = 10.5

total area of triangle = 12.5 + 9 + 12 + 10.5 = 44

area of polygon = 132 - 44 = 88 sq. units

Answer:

The area of the irregular polygon:

88 units²

Step-by-step explanation:

The irregular polygon is insert in a rectangle

The strategy is:

1 - calculate the rectangle total area

2- calculate the area of each right triangle

3.- substracte the total area of the 4 right triangles from the area of the rectángule

then:

1.-

Ar = 12*11 = 132 units²

Ar = rectangle area

2.-

At₁ = (5*5)/2 = 25/2 = 12.5 units²

At₂ = (6*3)/2 = 18/2 = 9 units²

At₃ = (7*3)/2 = 21/2 = 10.5 units²

At₄ = (8*3)/2 = 24/2 = 12 units²

At total = 12.5 + 9 + 10.5 + 12 = 44 units²

At = right triangle areas

3.-

Ap = 132 - 44 = 88 units²

Jake ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday he ran 1 fewer miles then he ran on Monday. How many miles did he run in all? PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN

Answers

Answer:

Jake ran 10 1/6 miles in total

Step-by-step explanation:

4 1/4 + 2 2/3 - (4 1/4-1).

                  v

6 11/12 + 3 1/4

          v

6 11/12 + 3 3/12 = 10 1/6

Jake ran 10 1/6 miles in total (Mon, Tues, Wed).

Answer:

61/6 or 10.1666666667

Step-by-step explanation:

Monday = 4  1/4

Tuesday = 2  2/3

Wednesday = Monday - 1

=> Monday = 17/4 miles

=> Tuesday = 8/3 miles

=> Wednesday = 17/4 - 4/4 = 13/4 miles.

=> (17/4 + 13/4) + 8/3

=> 30/4 + 8/3

=> Take the LCM of the denominators.

=> LCM = 12

=> 90/12 + 32/12

=> 122/12

SImplify 122/12

=> 61/6 or 10.1666666667


Evaluate the expression below for x =4 and y = 5.
x2 + 3(x + y)
When x = 4 and y = 5, x2 + 3(x + y)= |
(Type an integer or a decimal.)

Answers

Answer:

positive 35

Step-by-step explanation:

x2 + 3(x + y)        given

4(2) + 3(4+5)         problem

4(2) + 3(9)

8 + 27= 35

Solve two-step equations. -5/2 a + 5 = 25

Answers

Answer:

a = -8

Step-by-step explanation:

-5/2 a + 5 = 25

Subtract 5 from each side

-5/2 a + 5-5 = 25-5

-5/2 a = 20

Multiply each side by -2/5

-2/5 *-5/2 a = 20*-2/5

a = -8

Factor 4 out of 4x + 12.

Answers

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

4(x+3)

19) : -7x=5.6⇒ x=-5.6/-7

x=5.6/7=0.8

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

x=80/2=40

A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?

Answers

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is

Answers

Answer:

2/5

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

The sum of three consecutive multiples of 7 is 777 find these multiples

Answers

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

[tex]7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266[/tex]

252,259,266

PLEASE HELP!!!! ASAPP!!!! I will name Brainliest.
A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?

Answers

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

describe importance of public participant ​

Answers

Answer:

the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.

Divisibility by 10 of number 7236

Answers

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

Can you help me find all the seventh roots of unity? what do they look like graphed?

Answers

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.​

Answers

Answer:

$ 800

Step-by-step explanation:

number of books sold = 50

money earned = $ 890.00

profit = $ 90.00

Then the price of 50 books will be (money earned) - (profit)

= 890 - 90

= 800

So, the cost of 50 books is $ 800

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.

Answers

Answer:

The upper bound is 97.5 cm

Step-by-step explanation:

The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound  is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation

Where the number is given to the nearest 100, add and subtract  half of hundred to obtain the upper bound and lower bound respectively

For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;

Upper bound = 95 cm + 5/2 cm = 97.5 cm

The upper bound = 97.5 cm.


An 8-pack of beaded necklaces costs $7.60. What is the unit price?


Answers

Answer:

The unit price is $0.95 per pack.

Step-by-step explanation:

To find the unit price, we must find the price per pack of beaded necklaces.  To do this, we should divide the total price ($7.60) by the number of items in the package (8).

$7.60/8 = $0.95

Therefore, the answer is that the unit price is $0.95.

Hope this helps!

(−2a+5−b)⋅(−5) <- does this equal to 10a−25+5b?

Answers

Answer:

Yes!

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6)  C

7) A

8) D

9) B

Step-by-step explanation:

when the sign is < or  > then the point is clear point(white)

when the sign is ≤ or ≥ then the point is solid ( black)

6) 4y+3≤y+6

4y-y≤6-3

3y≤3

y≤3/3

y≤1  (C)

                                                                                                   

7) -2y>2 ( wen sign is negative you flip the sign from> to <)

y<-2/2

y<-1  (A)

---------------------------------------------------------------------------------------

8) y/3<-1 ⇒ y<-3  the sign is < means it is clear and on -3 (D)

--------------------------------------------------------------------------------------

9) 3y≤2y+3

3y-2y≤3

y≤3 ( B)

answer:
ignore pls sorry

HELP idk what the slope is

Answers

Answer:

the slope is -3

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

What is the center of the circle with the equation (x+4)2 + (y - 2)2 = 16?

Answers

Answer:

The center of the circle is

( - 4 , 2)

Step-by-step explanation:

Equation of a circle is given by

(x - h)² + ( y - k)² = r²

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

( - 4 , 2)

Hope this helps you

Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75​

Answers

Answer:

A) 0.875, 87.5%

B) 0.12, 12%

C) 1.6, 160%

Step-by-step explanation:

Answer:

A) 0.875, 87.5%

B) 0.001, 0.1%

C) 1.6, 160%

Step-by-step explanation:

I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.

A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?

Answers

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

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For each bond, show the direction of polarity by selecting the correct partial charges. _________ Si-P _________ _________ Si-Cl _________ _________ Cl-P _________ The most polar bond is _______ Is MNO=PQR? If so, name the congruence postulate that applies.Given:ME=PQNO=QRMO=PRA. Congruent - ASAB. Congruent - SSSC. Congruent - SASD. Might not be congruent Write a brief description about your visit to the Niagara Falls in not more than 120 words.( mention location, atmosphere, sights, sounds, history, importance etc.) The new hybrid car can get 51.5 km/gal. It has a top speed of 40000.00 cm/min and is 4m long. How fast can the car go in m/hr? Need help quick pls A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 434 likely voters, 202 said that they would vote "yes" on the referendum. Create a 95% confidence interval for the proportion of likely voters who would vote "yes" on the referendum. 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Costs associated with the alternatives are listed below:Alternative A Alternative BMaterials costs $ 40,000 $ 56,000Processing costs $ 37,000 $ 37,000Equipment rental $ 13,000 $ 13,000Occupancy costs $ 15,000 $ 22,000Are the materials costs and processing costs relevant in the choice between alternatives A and B?Multiple ChoiceA) Only processing costs are relevantB) Only materials costs are relevantC) Both materials costs and processing costs are relevantD) Neither materials costs nor processing costs are relevant Volatility risk is Group of answer choices the percentage change in the stock call-option price divided by the percentage change in the stock price. the sensitivity of the delta to the stock price. the risk incurred from unpredictable changes in volatility. the volatility level for the stock that the option price implies. Difference between atomic number and atomic weight any 2 points A skin cell of a red fox has 34 chromosomes. You look at the cell under a microscope and see that it has 34 chromosomes and one nucleus. Several hours later, you look at the same cell a second time and see that it has double the amount of DNA and one nucleus. A little while later, you see the cell for a third time and notice that it has 68 chromosomes and two nuclei. What stage of the cell cycle was this cell in when you viewed it at each time point A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate PLEASE HELPPPPP!!!!!!!!!!!!!!!Which relationships have the same constant of proportionality between y and x as the following graph?Choose two answers!! FIFO Perpetual Inventory The beginning inventory at Dunne Co. and data on purchases and sales for a three-month period ending June 30 are as follows: Date Transaction Number of Units Per Unit Total Apr. 3 Inventory 48 $150 $7,200 8 Purchase 96 180 17,280 11 Sale 64 500 32,000 30 Sale 40 500 20,000 May 8 Purchase 80 200 16,000 10 Sale 48 500 24,000 19 Sale 24 500 12,000 28 Purchase 80 220 17,600 June 5 Sale 48 525 25,200 16 Sale 64 525 33,600 21 Purchase 144 240 34,560 28 Sale 72 525 37,800 Required: 1. Record the inventory, purchases, and cost of merchandise sold data in a perpetual inventory record similar to the one illustrated in Exhibit 3, using the first-in, first-out method. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column. Dunne Co. Schedule of Cost of Goods Sold FIFO Method For the Three Months Ended June 30 Purchases Cost of Goods Sold Inventory Date Quantity Unit Cost Total Cost Quantity Unit Cost Total Cost Quantity Unit Cost Total Cost Apr. 3 $ $ Apr. 8 $ $ Apr. 11 $ $ Apr. 30 May 8 May 10 May 19 May 28 June 5 June 16 June 21 June 28 June 30 Balances $ $ 2. Determine the total sales and the total cost of goods sold for the period. Journalize the entries in the sales and cost of goods sold accounts. Assume that all sales were on account. Record sale Record cost 3. Determine the gross profit from sales for the period. $ 4. Determine the ending inventory cost as of June 30. $ 5. Based upon the preceding data, would you expect the ending inventory using the last-in, first-out method to be higher or lower? What is the value of 1 in 1,255 is what times the value of the 1 in 82,175 Burpee Company sells seeds to garden stores. Sales are expected to be $2,038,635 in January, $2,581,891 in February and $2,913,307 in March. Burpee sets their prices so that they earn an average 32% gross profit on sales revenue. What is budgeted cost of goods sold for the first quarter (January, February and March)?