engineering mathematics MCQ #289

The shadow of a tower is 50 m when the sun's elevation is 30°. What is the height of the tower?

engineering mathematics MCQ #289

  1. Question 1

    Q1. The shadow of a tower is 50 m when the sun's elevation is 30°. What is the height of the tower?

    • A) 50/√3 m
    • B) 50√3 m
    • C) 25√3 m
    • D) 25/√3 m

    Answer: 50/√3 m

    Explanation: The tangent of 30° equals the ratio of the height of the tower to the length of the shadow. Since tan(30°) = 1/√3, rearranging gives the height as 50/√3 m, applying the formula tan(angle) = opposite/adjacent.