The angle of elevation of a tower at a station \( \mathrm{P} \) due north of it is \( \alpha \) ...

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The angle of elevation of a tower at a station \( \mathrm{P} \) due north of it is \( \alpha \) and at a station \( \mathrm{Q} \) due west - of \( \mathrm{P} \) is \( \beta \). Prove that the height of the tower is \( -\frac{P Q \sin \alpha \sin \beta}{\sqrt{\sin ^{2} \alpha-\sin ^{2} \beta}} \).
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