contestada

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.

Respuesta :

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

[tex]tan(theta)= \frac{opposite}{adjacent}[/tex]

[tex]tan(33)=\frac{x}{75}[/tex]

[tex]75 tan(33)=x[/tex]

[tex]x=48.7 feet[/tex]