engineering mathematics MCQ #57

A 1.8 m tall man is standing at some distance from a 31.8 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

engineering mathematics MCQ #57

  1. Question 1

    Q1. A 1.8 m tall man is standing at some distance from a 31.8 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

    • A) 20√3 m
    • B) 30 m
    • C) 20 m
    • D) 57.6 / √3 m

    Answer: 57.6 / √3 m

    Explanation: Using trigonometric ratios, initial distance = 30√3 m, final distance = 30 / √3 m, distance walked = 30√3 - 30 / √3 = 57.6 / √3 m.