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?
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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