A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive

Answers

Answer 1

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°


Related Questions

119 is 0.7% of what number

Answers

Answer:

17,000

Step-by-step explanation:

0.7% × 17,000 =

(0.7 ÷ 100) × 17,000 =

(0.7 × 17,000) ÷ 100 =

11,900 ÷ 100 =

119

Answer:

1700??

Step-by-step explanation:

I set up a proportion with fractions. My first fraction is 7 over 100 and my second fraction is 119 over x. Is over of!!!!! BTW I don't know if this is correct

Find the value of x in the triangle shown below.
5
х
3

Answers

Answer:

x=4

Step-by-step explanation:

This is most probably the answer because 3, 4, 5 is a pythagorean triple.


39)
Will weighs three times as much as Brenda. Together, they weigh 240
pounds. How much does each of them weigh

Answers

let

brenda: b

will: 3b

b + 3b = 240

4b = 240

b = 60 lbs (BRENDA)

3b = will

3 (60) = will

180 = WILL

The solution is

The weight of Brenda = 60 pounds

The weight of Will = 180 pounds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the weight of Brenda be = x

Let the weight of Will be = y

Now , Will weighs three times as much as Brenda

Substituting the values in the equation , we get

y = 3x   be equation (1)

And , the weight of Will + weight of Brenda = 240 pounds

So , x + y = 240   be equation (2)

Substituting the value of y from equation (1) in equation (2) , we get

x + 3x = 240

On simplifying the equation , we get

4x = 240

Divide by 4 on both sides of the equation , we get

x = 60 pounds

So , the weight of Brenda is 60 pounds

Substitute the value of x in equation (1) , we get

y = 3x

y = 3 x 60

y = 180 pounds

So , the weight of Will is 180 pounds

Hence , the weight of Brenda is 60 pounds and weight of Will is 180 pounds

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

I need help with this

Answers

Answer:

b = -12

Step-by-step explanation:

First isolate b by subtracting 2 from both sides: b/4 = -3

then multiply both sides by 4 to find b: b = -12

Answer:

b= -12

Step-by-step explanation:

b/4 + 2 = -1

Subtract 2 from both sides

b/4 = -3

Multiply both sides by 4

b= -12

It's an inverse operation thing.

15 points please help me ???? ASAP

Answers

I think it is +0.67
I don’t know tho sorry
Have a nice day tho

HELPPP!!!???PLEASE HELPPP!!

Answers

Answer:

[tex]\frac{5}{14}[/tex] [tex]or[/tex] [tex]0.357142857143[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]\frac{2}{7}\div\frac{4}{5}[/tex] = [tex]\frac{5}{14}[/tex] [tex]because[/tex],

[tex]\frac{2}{7}[/tex] = [tex]0.285714285714[/tex]

[tex]\frac{4}{5}[/tex] = [tex]0.8[/tex]

[tex]0.285714285714[/tex] [tex]\div[/tex] [tex]0.8[/tex] = [tex]0.357142857143[/tex]

[tex]\frac{5}{14}[/tex] = [tex]0.357142857143[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

it is A

Step-by-step explanation:

Multiply them then divide them by 2

A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

a
f(1) = 2 and f(n) = f(n − 1) + 4; n > 1

b
f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1

c
f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1

d
f(1) = 4 and f(n) = f(n − 1) + 2; n > 1

Answers

Answer:It would be f(n)= f(n-1) +4 this is because f(n-1) means the previous term and you would add your 4 every time you gain.

Step-by-step explanation:

the legnth of a rectangle is 4 times the width. the primiter is 120 cm. find the width and the length of the rectangle.​

Answers

perimeter rectangle = 120 cm

let width be = x
thus the length will be = 4x

4x + 4x + x + x = 120
10x = 120

thus, x = 12 cm

so , width = x = 12 cm

length = 4x = 4(12) = 48 cm

i am sorry if my answer is wrong .

The Bootle Corporation paid Leslie a quarterly dividend check for $828. Leslie owns 450 shares of Bootle. What was the quarterly dividend for one share of Bootle?

Answers

Quarterly dividend for 450 shares = 828
Quarterly dividend for 1 share = 828/450 =1.84

Hoped I help! Mark me brainly if I’m correct or would help a lot! Have a nice day!:)

Here is the riddle again for those who did not see it

Answers

375 is the answer :)

Answer:

d=120

p=210

c=360

is this correct?

help me plz in which situation would it be better to use a ctedit card instedad of cash ?
a going out to dinner b purchasing movie tickets c purchasing gasoline d making hotel reservations

Answers

i think i'd be purchasing gasoline

PLS HELP ME!!!!! I WILL GIVE BRAINLIEST

Answers

Pretty sure it’s d sorry if it’s wrong

Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $65.00 for 170 miles. Write an equation to represent y, the total rental cost, in terms of x, the number of miles driven.

Answers

Answer:

y= 48 + 0.1x

x= miles driven

Step-by-step explanation:

We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (65 - 58) / (170 - 100)

Variable cost per unit= $0.1 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 65 - (0.1*170)

Fixed costs= $48

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 58 - (0.1*100)

Fixed costs= $48

y= 48 + 0.1x

x= miles driven

PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...

Answers

The equation would be if y is the numbers in the sequence (like 3, 9, 27) and x is the is the number in the order (like 3 is 1, 9 is 2, 81 is 4) the the equation would be y = 3^x.

WHOEVER ANSWERS IT WILL GET BRAINST DUE IN 5 MINUTES!!!!!

Answers

Answer:

Its b

Step-by-step explanation:

C because it x is an exponent making it an exponential function

Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer:

The greatest number of flowers that could be in a bouquet is 9 flowers.

Each bouquet would contain: 3 roses, 1 daise and 5 tulips

Step-by-step explanation:

Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

We solve the above question using Greatest Common Factor method.

We find the factors of 27, 9 and 45

The greatest common factor is the highest factor common to these 3 number

Hence:

The factors of 9 are: 1, 3, 9

The factors of 27 are: 1, 3, 9, 27

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

Therefore, the greatest number of flowers that could be in a bouquet is 9 flowers

Each bouquet would contain

For 27 roses = 27/9 bouquet = 3 roses

For 9 daisies = 9 daisies/9 bouquet = 1 daisies

For 45 tulips = 45 tulips/9 bouquet = 5 tulips

HELP ME SOMEBODY PLSS

Answers

Answer:

-6/8

Step-by-step explanation:

The rate of change is the same as the slope (I don't know if you have learned that term yet), but basically its the change in y's over the change in x's. to find this out, all you have to do is count from the point on the graph that is the farthest right (in this case, (6,1)), up to the y coordinate of the point farthest to the left (-2, 7) which is 6, and then count the number of spaces between the x coordinates, which is 8. put the rise (up and down count) over the run (horizontal count) in a fraction form, which gives you 6/8, and then notice how the line is pointing towards the bottom RIGHT hand corner making the line negative, so you need to make the rate of change negative, giving you the final answer of -6/8.  

What is the value of z if z/4 = 12

Answers

Answer:

z = 48 :)

Step-by-step explanation:

z ÷ 4 = 12

So, all you need to do is multiply 12 by four, to get z- 48

hope this helped!

z=48

all u have to do is do see if 48 divided by 4 equals twelve.

which addition does the model below represent represent
+ + + + +
- - -

Answers

Answer:there is no model

Step-by-step explanation:

6.25 ÷ 0.025 find and tell me fast and I will mark you as the brainalest

Answers

Answer:

6.25 divided by 0.025 is 250

Can someone please help me?

Answers

Answer:

2

Step-by-step explanation:

PLEASE HELP ME FASTTT!!

Answers

Negative 2 and positive 4

In a basketball game, River scored 15% more points than Paul. If r is the number of points that River scored and p is the number of points that Paul scored, which equations are correct. Select all that apply.

Answers

Answer:

[tex]r = \dfrac{23}{20} p[/tex]

Step-by-step explanation:

Number of points scored by River = [tex]r[/tex]

Number of points scored by Paul = [tex]p[/tex]

River has scored 15% more points that Paul.

To find:

Equation to represent the given condition.

Solution:

As per the given question statement, Number of points scored by River is 15% more than that of Paul's.

15% of points scored by Paul = 15% of [tex]p[/tex] = [tex]\frac{15}{100}p[/tex]

15% more means total points scored by Paul plus 15% of points scored by Paul.

Therefore, we can write the following:

[tex]r = p + 15\%\ of\ p\\\Rightarrow r = p + \dfrac{15}{100} p\\\Rightarrow r = \dfrac{115}{100} p\\\Rightarrow r = \dfrac{23}{20} p[/tex]

y=mx+
finish the equation
Its one of the options
M
B
F
C

Answers

Answer:

b

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

Need help to solve this question- The highlighted one is incorrect

Answers

Answer:

16 might be correct but don't quote me on this...

Step-by-step explanation:

104-88=16

let me know if this is correct, Thanks! :-)

Answer:

C

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ] to solve for the missing side length.

88² + b² = 104²

7744 + b² = 10816

b² = 3072

√b = √3072

b ≈ 55.43

Best of Luck!

Find the volume of a cube with an edge length of 4 mm.

Answers

If I’m correct it should be V=6.4×10-8m³

Which object traveled at a faster speed?
object A: 65 miles in 13 minutes
object B: 125 miles in 25 minutes
( show your work)
plss helppp

Answers

Answer:

I believe it is object B

Which function is best represented by the graph?

Answers

The slope is negative since the line is going downwards. Y intercept: when x = 0 and looking on the graph it’s (0,-2)

Solution: B. y = -2x - 2

dude plz help
A circle has an area of 25pi Another circle has a diameter 5 times the first. What is the diameter of 2nd circle

Answers

Answer:

the Diameter of second circle is 50

Step-by-step explanation:

Area of first circle = 25 π

Diameter of first circle = d

Diameter of second circle= 5(Diameter of first circle) (because Another circle has a diameter 5 times the first)

We need to find diameter of 2nd circle.

First we find diameter of first circle.

The formula for area of circle is: [tex]Area=\pi r^2[/tex]

We also know that: [tex]Diameter = 2r[/tex]

First we will find radius and using diameter formula we can find diameter of the circle.

[tex]Area=\pi r^2\\25\pi =\pi r^2\\r^2=\frac{25\pi}{\pi}\\r^2=25\\Taking\:square\:root\:on\:both\:sides\\\sqrt{r^2}=\sqrt{25}\\r=5[/tex]

So, radius of first circle is r = 5

Now, finding diameter of first circle:

[tex]Diameter = 2r\\Diameter= 2(5)\\Diameter= 10[/tex]

So, Diameter of first circle = 10

Now, we know that diameter of second circle is 5 times the first

So, Diameter of second circle = 5(Diameter of first circle)

Diameter of second circle = 5(10)

Diameter of second circle = 50

So, the Diameter of second circle is 50

Which answer choice shows the numbers in order from least to greatest?


A. 4.1, 4, 0, -0.5, -6/2, -10

B.-10, -6/2, -0.5, 0, 4, 4.1

C. -0.5, -6/2, -10, 0, 4, 4.1

D. -10, -0.5, -6/2, 0, 4.1, 4

Answers

B, this is because -6/2 = -3
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