Question

The angle of depression from the top of the tower to point A is 23°. The distance from A to the base of the tower is 80 m. Find the height of the tower.

A) 34.8 m

B) 44.8 m

C) 30.6 m

D) 28.2 m

Answer 1

The height of the tower is approximately 34.8 m.

Step-by-step explanation:

To find the height of the tower, we can use trigonometry. We have the angle of depression from the top of the tower to point A and the distance from A to the base of the tower. Let's denote the height of the tower as h. Using the tangent function, we have tan(23°) = h / 80. Solving for h, we get h = 80 * tan(23°) = 34.8 m. Therefore, the height of the tower is approximately 34.8 m.