Question

You are 60 feet from a radio tower and the angle of elevation from the ground to the top of the tower is 69°. Find the height of the radio tower.​

Answer 1

We can use trigonometry to solve this problem. Let h be the height of the radio tower. Then we have:

tan(69°) = h/60

Multiplying both sides by 60, we get:

h = 60 tan(69°)

Using a calculator, we find that:

h ≈ 178.37 feet

Therefore, the height of the radio tower is approximately 178.37 feet.