The angle of elevation to the top of a building from a point on the ground is 45°. If the height of the building is 50 m, how far is the point from the building?
Q1. The angle of elevation to the top of a building from a point on the ground is 45°. If the height of the building is 50 m, how far is the point from the building?
Answer: 50 m
Explanation: The tangent of 45° equals the ratio of the height of the building to the distance from the point to the building. Since tan(45°) = 1, the distance equals the height, 50 m, using the formula tan(angle) = opposite/adjacent.