A flagstaff stands on top of a tower. The height of the tower is 40 m. From a point on the ground, the angle of elevation of the top of the flagstaff is 60° and that of the top of the tower is 45°. What is the height of the flagstaff?
Q1. A flagstaff stands on top of a tower. The height of the tower is 40 m. From a point on the ground, the angle of elevation of the top of the flagstaff is 60° and that of the top of the tower is 45°. What is the height of the flagstaff?
Answer: 40(√3 - 1) m
Explanation: First, we find the distance of the point from the tower using the tangent of 45°. Then, we use the tangent of 60° to find the height of the flagstaff.