A surveyor is standing 50 m away from a tower. The angle of elevation to the top of the tower is 45°. What is the height of the tower?
Q1. A surveyor is standing 50 m away from a tower. The angle of elevation to the top of the tower is 45°. What is the height of the tower?
Answer: 50 m
Explanation: The tangent of 45° equals the ratio of the height of the tower to the distance from the surveyor. Since tan(45°) = 1, the height equals the distance, 50 m, using the formula tan(angle) = opposite/adjacent.