Core stretch A ranger stands at $T$. Point $A$ is 20 m down a slope from $T$, at an angle of d

Question

Core stretch A ranger stands at $T$. Point $A$ is 20 m down a slope from $T$, at an angle of depression of $50^\circ$. A vertical tower $BF$ of height 8 m has its foot $F$ level with $T$, and the angle of elevation of $B$ from $T$ is $12^\circ$. Find $20\text{ m}$ $8\text{ m}$ $A$ $T$ $F$ $B$ $50^\circ$ $12^\circ$ $\theta$ Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Accepted Answer

(a) $23.3$ m (b) $37.6$ m (c) $24.8^\circ$.

A ranger, a slope and a tower

A ranger, a slope and a tower

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