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=(perpendicular)/(base)`
`\begin{gathered} \tan \theta=(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)