A utility pole is 40 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Draw the triangle. Show your work.

Respuesta :

Answer:

The angle of elevation is [tex]39\°[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x-----> the angle of elevation of the sun

we know that

In the right triangle ABC

[tex]tan(x)=\frac{BC}{AC}[/tex]

we have

[tex]BC=40\ ft[/tex]

[tex]AC=50\ ft[/tex]

substitute

[tex]tan(x)=\frac{40}{50}[/tex]

[tex]x=arctan(\frac{40}{50})=39\°[/tex]

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