engineering mathematics MCQ #193

A man standing on the ground observes the top of a building at an angle of elevation 45°. If he moves 10 m back and observes the top at an angle of elevation 30°, find the height of the building.

engineering mathematics MCQ #193

  1. Question 1

    Q1. A man standing on the ground observes the top of a building at an angle of elevation 45°. If he moves 10 m back and observes the top at an angle of elevation 30°, find the height of the building.

    • A) 5(√3 + 1) m
    • B) 10(√3 + 1) m
    • C) 5(3 + √3) m
    • D) 10(3 + √3) m

    Answer: 5(3 + √3) m

    Explanation: Using trigonometric ratios for both angles and the given distance, we can form equations to solve for height, yielding 5(3 + √3) m.