Question

A radio tower is located 425 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 43 degrees and that the angle of depression to the bottom of the tower is 27 degrees . How tall is the tower

Answer 1

Answer: Approximately 422.14 feet tall

Explanation:

The height of the tower can be found using trigonometry. We can use the tangent function to find the height of the tower.

Let h be the height of the tower.

tan(43°) = h/425

h = 425 * tan(43°)

h ≈ 422.14 feet (rounded to two decimal places)12

Therefore, the tower is approximately 422.14 feet tall.