From the top of a lighthouse, two boats are spotted. Boat $B$ makes an angle elevation of \(60{}^\

Question

From the top of a lighthouse, two boats are spotted.
Boat $B$ makes an angle elevation of $60{}^\circ$ with the top of the lighthouse.
The distances of Boat $A$ and Boat $B$ from the top of the lighthouse are $85$ m and $77$ m respectively.

Find the height of the lighthouse.
Find the distance of Boat $A$ from the foot of the lighthouse.

Accepted Answer

(i) $66.7\text{ m}\text{ (3 s.f.)}$ (ii) $52.7\text{ m}\text{ (3 s.f.)}$

Problem involving Angle of Elevation

Problem involving Angle of Elevation

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