Question

What is the angle of elevation of the sun if a 55 foot tall flag pole casts a 16 foot long shadow?A. 73.8B. 73.1C. 16.2D. 26.1

Answer 1

Given data:

The sun 55 foot tall.

Shadow = 16 foot long

Now, by using the trigonometric ratio finding the angle of elevation

$\tan \theta=\frac{perpendicular}{base}$$\begin{gathered} \tan \theta=\frac{55}{16} \\ \tan \theta=3.4375 \\ \theta=73^{\circ}47^{\prime} \end{gathered}$

Thus, the angle of elevation is 73.8 and the correct option is (A)