engineering mathematics MCQ #72

A tree casts a 20m shadow when the sun's angle of elevation is 30°. Find the height of the tree.

engineering mathematics MCQ #72

  1. Question 1

    Q1. A tree casts a 20m shadow when the sun's angle of elevation is 30°. Find the height of the tree.

    • A) 20 / √3 m
    • B) 20√3 m
    • C) 10√3 m
    • D) 40 / √3 m

    Answer: 10√3 m

    Explanation: tan(30°) = height / 20, so height = 20 * 1/√3 = 20 / √3 * (√3 / √3) = 20√3 / 3 m, simplifying gives 10√3 * 2 / √3 = 10√3 m (approx.).