Question

The shadow of a vertical tower is 75.0 ft long when the angle of elevation of the sun is 33.0 degrees. Find the height of the tower.

Answer 1

Answer:

height of the tower is 48.7 feet

Explanation:

The shadow of a vertical tower is 75.0 ft long when the angle of elevation of the sun is 33.0 degrees

Shadow and vertical tower forms a right angle triangle

let x be the height of the tower

base of the triangle is the shadow

$tan(theta)= \frac{opposite}{adjacent}$

$tan(33)=\frac{x}{75}$

$75 tan(33)=x$

$x=48.7 feet$