engineering mathematics MCQ #195

A man standing on a level plane observes the angle of elevation of a tower to be θ. If he walks a distance d towards the tower, the angle becomes 2θ. What is the height of the tower?

engineering mathematics MCQ #195

  1. Question 1

    Q1. A man standing on a level plane observes the angle of elevation of a tower to be θ. If he walks a distance d towards the tower, the angle becomes 2θ. What is the height of the tower?

    • A) d / (tan 2θ - tan θ)
    • B) d tan θ / (1 - tan 2θ)
    • C) d tan 2θ / (tan 2θ - tan θ)
    • D) d tan θ / (tan 2θ - tan θ)

    Answer: d tan θ / (tan 2θ - tan θ)

    Explanation: Using trigonometric identity for tan 2θ and simplifying the equation formed by the given conditions, we get h = d tan θ / (tan 2θ - tan θ).