Question

A radio tower is located 300 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 27 degrees and that the angle of depression to the bottom of the tower is 26 degrees. How tall is the tower?

Answer 1

To find the height of the tower, we can use the tangent function. Let's call the height of the tower 'h'. Since the person is looking up at the top of the tower, the angle of elevation is used. The height of the tower is approximately 157.32 feet.

Step-by-step explanation:

To find the height of the tower, we can use the tangent function. Let's call the height of the tower 'h'. Since the person is looking up at the top of the tower, the angle of elevation is used. We have the equation tan(27°) = h/300. Solving for h, we find that h ≈ 300 * tan(27°) ≈ 157.32 feet. Therefore, the tower is approximately 157.32 feet tall.