Core stretch A vertical pole $PQ$ stands on a cliff whose top is $Q$. A boat $B$ is 90 m horiz

Question

Core stretch A vertical pole $PQ$ stands on a cliff whose top is $Q$. A boat $B$ is 90 m horizontally from the cliff foot. The angles of elevation of $Q$ and $P$ are $55^\circ$ and $62^\circ$, respectively. Find Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place. $B$ $D$ $F$ $Q$ $P$ $90\text{ m}$ $DF=105\text{ m}$ $55^\circ$ $62^\circ$ $\theta$

Accepted Answer

(a)(i) $129$ m (ii) $40.7$ m (b) $50.8^\circ$.

A pole on a cliff observed from a boat

A pole on a cliff observed from a boat

Solution:

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