engineering mathematics MCQ #208

A tower is standing on a horizontal plane. The angle subtended by the tower at a point on the plane is α. On moving 'd' units towards the tower, the angle subtended becomes β. What is the height of the tower?

engineering mathematics MCQ #208

  1. Question 1

    Q1. A tower is standing on a horizontal plane. The angle subtended by the tower at a point on the plane is α. On moving 'd' units towards the tower, the angle subtended becomes β. What is the height of the tower?

    • A) d / (cot α - cot β)
    • B) d / (cot β - cot α)
    • C) d(cot α - cot β)
    • D) d(cot β - cot α)

    Answer: d / (cot α - cot β)

    Explanation: Using the tangent function for both angles and the given distance, we can derive the formula for the height of the tower.