The elevation of a tower at a station A due north of it is [tex] \alpha[/tex] and at a station B due west of A is [tex]\beta[/tex]. Prove that the height of the tower is [tex]\dfrac{AB~sin\alpha ~ sin\beta}{\sqrt{sin^2\alpha-sin^2\beta}}[/tex].
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★ Source : RD Sharma [ClassX CBSE]