engineering mathematics MCQ #114

A flagpole stands on top of a building. The angle of elevation of the top of the flagpole is 60° and the angle of elevation of the top of the building is 45°. If the height of the building is 20m, what is the height of the flagpole?

engineering mathematics MCQ #114

  1. Question 1

    Q1. A flagpole stands on top of a building. The angle of elevation of the top of the flagpole is 60° and the angle of elevation of the top of the building is 45°. If the height of the building is 20m, what is the height of the flagpole?

    • A) 14.64 m
    • B) 15.64 m
    • C) 16.64 m
    • D) 17.64 m

    Answer: 14.64 m

    Explanation: First, find the distance from the point to the building using tan(45°) = 20 / distance. Then, use tan(60°) = (20 + h) / distance to find h.