From a point on the ground, the angle of elevation to the top of a building is 60°. If the height of the building is 30√3 m, what is the distance from the point to the building?
Q1. From a point on the ground, the angle of elevation to the top of a building is 60°. If the height of the building is 30√3 m, what is the distance from the point to the building?
Answer: 30 m
Explanation: The tangent of 60° equals the ratio of the building's height to the distance. Since tan(60°) = √3, rearranging gives the distance as 30√3 / √3 = 30 m, using the formula tan(angle) = opposite/adjacent.