engineering mathematics MCQ #160

A flagstaff stands on the top of a tower. The angle of elevation of the top of the flagstaff from a point on the ground is 60° and the angle of elevation of the top of the tower is 45°. If the height of the flagstaff is 5 m, what is the height of the tower?

engineering mathematics MCQ #160

  1. Question 1

    Q1. A flagstaff stands on the top of a tower. The angle of elevation of the top of the flagstaff from a point on the ground is 60° and the angle of elevation of the top of the tower is 45°. If the height of the flagstaff is 5 m, what is the height of the tower?

    • A) 5(√3 + 1) / (√3 - 1) m
    • B) 10 m
    • C) 5(3 + √3) / 2 m
    • D) 8 m

    Answer: 5(√3 + 1) / (√3 - 1) m

    Explanation: Using trigonometric relations for the tower and the flagstaff, we can form equations to solve for the height of the tower.