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Question - Heights and Distances - Angle of Elevation, Angle of Depression

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ConceptHeights and Distances - Angle of Elevation, Angle of Depression  

Question

The angle of elevation of the top of a tower from a point A due south of the tower is α and from B due east of the tower is β. If AB = d, show that the height of the tower is

`\frac{d}{\sqrt{\cot ^{2}\alpha +\cot^{2}\beta `

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