A man observes the top of a tower at an angle of elevation of 60°. If the height of the tower is 40 m, what is his distance from the tower?
Q1. A man observes the top of a tower at an angle of elevation of 60°. If the height of the tower is 40 m, what is his distance from the tower?
Answer: 40/√3 m
Explanation: The tangent of 60° equals the ratio of the tower's height to the distance from the man to the tower. Since tan(60°) = √3, rearranging gives the distance as 40/√3 m, using the formula tan(angle) = opposite/adjacent.