# What is the angle of elevation of the sun if a 55 foot tall flag pole casts a 16 foot long shadow?

Dec 22, 2017

Angle of elevation is ${73}^{\circ} 47 '$

#### Explanation:

The figure appears as shown below.

We know that the angle of elevation is $\theta$

As trigonometry says, $\tan \theta = \left(\text{55 ft.")/("16 ft.}\right)$

= $3.4375$

and tan tables give $\theta = {73}^{\circ} 47 '$