A surveyor measures the angle of elevation of the top of a tower to be 45°. After moving 20m closer, the angle becomes 60°. What is the height of the tower?
Q1. A surveyor measures the angle of elevation of the top of a tower to be 45°. After moving 20m closer, the angle becomes 60°. What is the height of the tower?
Answer: 73.2 m
Explanation: Let height = h. Using tan(45°) = h / (x + 20) and tan(60°) = h / x, we can solve for h.