Question

    A man observes the top of a lighthouse from a point on

    the ground 30 m away from its base. If the angle of elevation is 60°, what is the height of the lighthouse?
    A 33.52 m Correct Answer Incorrect Answer
    B 23.5 m Correct Answer Incorrect Answer
    C 51.96 m Correct Answer Incorrect Answer
    D 3√3 m Correct Answer Incorrect Answer

    Solution

    Formula Used: Height of the lighthouse = Distance from the base × tan(angle of elevation) Calculation: tan(60°) = √3 ≈ 1.732 ⇒ Height of the lighthouse = 30 × 1.732 ⇒ Height of the lighthouse ≈ 51.96 m The height of the lighthouse is approximately 51.96 m.

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