The angle of elevation of a hill from a fixed point is \( \theta \). After going up a distance o...

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The angle of elevation of a hill from a fixed point is \( \theta \). After going up a distance of \( \mathrm{k} \) metres towards the top of hill at an angle of \( \phi \), it is found that the angle of elevation is \( \alpha \). Show that the height of the hill is \( -\frac{\mathrm{k}(\cos \phi-\sin \phi \cot \alpha)}{\cot \theta-\cot \alpha} \) metres.
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