Question

A certain flagpole that is 286 feet tall cast a shadow 137 feet long. Find the angle of elevation of the sun.

Answer 1

Answer: The angle of elevation of the sun
`=64.40^(\circ)`

Explanation:

According to the trigonometry,

In a right triangle,

`tan A=(Perpendicular)/(Base)`

Let angle of elevation of the sun = x

From the given figure, Perpendicular = 286 feet

Base = 137 feet

`\tan x =(286)/(137)\\\\ \tan x = 2.0876\\\\ x=\tan^(-1)(2.0876)\\\\ x=64.40^(\circ)`

The angle of elevation of the sun
`=64.40^(\circ)`