La sombra de un árbol cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. ¿Cuál es la altura del árbol?

Answers

Answer 1

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

La Sombra De Un Rbol Cuando Los Rayos Del Sol Forman Con La Horizontal Un Ngulo De 36, Mide 11 Metros.

Related Questions

express . 05 as a proper fraction in its lowest terms​

Answers

because 5 is in the hundredth place, we know it’s 5/100. then, you can divide top and bottom by 5. so 1/20

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer:

7x + 2y = 1

Step-by-step explanation:

First we find the slope m of the line

The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as

m = (y2 - y1)/(x2 - x1)

Considering the points (–3, 11) and K(1, –3), the slope of the line m

= (-3-11)/(1 --3)

= -14/4

= 7/2

the line JK may be given as

y - 11 = -7/2(x - -3)

multiply through the equation by 2

2y - 22 = -7(x + 3)

2y - 22 = -7x - 21

7x + 2y = 22 - 21

7x + 2y = 1

Answer:

B

Step-by-step explanation:

7x + 2y = 1

If 5400=54(100x+54), then x=?

Answers

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.

What is the equation of a circle with center (7, 2) and radius 2?

Answers

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°

Answers

Answer:

Step-by-step explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer:

y=40

Step-by-step explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40

Solve the formula d = rt for r.

Answers

r= d/t
you just divide both sides by t to isolate r

write short note on the rules on how to bisect a line​

Answers

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?

Answers

the width is 10. l x w = a. 8 x 10 = 80
The width is 10 because the area of a rectangle is lxw so I can do the opposite of multiplication which is division and I then divide 80 by 8 and I get 10

2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?

Answers

Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

help pls i beg youuu

Answers

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

find the product (3n-4)(3n-4)

Answers

Answer:

9n-8 is the product

Answer:

Search Quickmath in Chrome and

all problem will solve... I hope it helps and trust me it works

i will give brainliest.

Answers

Answer:

speed

Step-by-step explanation:

- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)

Answers

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)

Answers

The foot of the ladder is
10
feet away from the base of the wall. [Ans]

How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0

1. 2
2. 0
3. 1
4. 3

Answers

Answer:

Option 1: 2

Step-by-step explanation:

see the plotting (made with desmos)

note that 3 is impossible, because a quadratic equation can't have 3 real zeros

Volume & surface! May I please have help

Answers

Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25

=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25

a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

x = 6.7

Step-by-step explanation:

legs of a right triangle are 6,3 and hypotenuse be x

using pythagors theorem to find hypotenuse

a^2 + b^2 = c^2

6^2 + 3^3 = x^2

36 + 9 = x^2

45 = x^2

[tex]\sqrt{45} = x[/tex]

[tex]\sqrt{3*3*5} = x[/tex]

[tex]3\sqrt{5} = x[/tex]

6.70 =x

6.7 =x

Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5

Answers

8x provides distant of issue so 0 and -1.5 evaluate

The proper way to express the above inequality is 6x4(2x-1) is x2.

What is inequality?

A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.

6x4(2x-1) is the given inequality.

So, 6x≥8x-4

6x off of both sides gives us

6x-6x≥8x-4-6x

0≥8x-6x-4

0≥2x-4

4 added on both sides give us

0+4≥2x-4+4

4≥2x

By dividing both sides by half, we obtain

(1/2)×4≥(1/2)×2x

2≥x

x≤2

Therefore, x≤2 is the correct representation.

Learn more about inequality here:

brainly.com/question/19498063

#SPJ7

Given that the area of the trapezoid is 55cm find x

Answers

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

315,728 rouned to the nearest ten thousand

Answers

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

Can some one help me out with this please?

Answers

Answer:

GOD BLESS YOU

Step-by-step explanation:

HELP HELP HELP HELP HELP

Answers

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

what is 3x+8 + 4x+10

Answers

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex]RainbowSalt2^{2}2^{2}[/tex]

╰══ღ❦ღ═══════╯

Awnser this for brainliest.

Answers

Answer:

1 is the number that goes in the blank

Step-by-step explanation:

3(2x+1)

Distribute

3*2x+3*1

6x+3

Answer:

3*2x+3*1

6x+3

hope it help

PLEASE HELP ME !! I BEG

Answers

Answer:

d yr welcome

Step-by-step explanation:

Option 'B' is the correct option:

[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]

Please help!! I'm in summer school and I can't fail

Answers

Answer and Step-by-step explanation:

The slope would be positive 1. (Third answer choice).

This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.

#teamtrees #PAW (Plant And Water)

PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS

Answers

Answer:

592 divided by 16=37

Answer:

592 divided by 16 is 37

3 boxes on top:

5 tens + 92 = 592

Step-by-step explanation:

:)

Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171

Answers

8171 9 inches and different radius

a=8 and b=2.25 but what is k

Answers

Answer:

a = 8, b = 2.25, k = 27

Step-by-step explanation:

y = abˣ

Points on the graph:

(0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25

Find k:

k = 8*[tex]2.25^{1.5}[/tex] = 27

Answer:

a=8

b=9/4

k = 27

Step-by-step explanation:

y = ab^x

We know that a is the initial value or when x = 0

We know the point (0,8) so a = 8

y = 8 b^x

Using the point (1,18) for x and y we can find b

18 = 8 * b^1

18/8 = b

9/4 = b

Now

y = 8 * ( 9/4) ^ x

Letting x = 1.5

k = 8 *(9/4)^1.5

k = 27

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years​

Answers

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

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