Core stretch A lighthouse $AB$ is vertical. A ship at $D$ is 120 m from its foot $B$, and the

Question

Core stretch A lighthouse $AB$ is vertical. A ship at $D$ is 120 m from its foot $B$, and the angle of depression from $A$ to $D$ is $36^\circ$. A boat $C$, between $B$ and $D$, observes $A$ at an angle of elevation of $52^\circ$. Find $120\text{ m}$ $B$ $A$ $C$ $D$ $36^\circ$ $52^\circ$ Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Accepted Answer

(a) $87$ m (b) $51.9$ m.

A lighthouse observed by a ship and a boat

A lighthouse observed by a ship and a boat

Solution:

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