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A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the
shadow to the tip of the flagpole is 36º. How tall is the flagpole? Round your
answer to the nearest foot.
A. 27 feet
B. 32 feet
C. 29 feet
D. 24 feet

Respuesta :

Grimmwolf

Answer:

C - 29 feet.

shubhamchouhanvrVT

The height of the flagpole will be equal to 29 foot.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

It is given in the question that

The Shadow of the flagpole has a length= 40 foot

The angle of the shadow= 36

So now from the angle formula we can see that

[tex]tan\theta=\dfrac{Height}{Base}[/tex]

[tex]tan\theta=\dfrac{H}{40}[/tex]

[tex]H=40\times tan\thet36[/tex]

[tex]H=29\ Foot[/tex]

Hence the height of the flagpole will be 29 foot.

To know more about trigonometry follow

https://brainly.com/question/24349828

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