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The angles of elevation of the top of a tower from two points at a distances a meter and b metres from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is `sqrt(a b)` metres.

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RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
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  7. A person, standing on the bank of a river, observes that the angle sub...

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  13. A tower is 100sqrt(3) metres high. Find the angle of elevation if i...

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  14. The angle of elevation of the top of a tower from a point on the gro...

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  15. A kite is flying at a height of 60m above the ground. The string att...

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  16. The string of a kite is 100 metres long and it makes an angle of 60...

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  17. A circus artist is climbing from the ground along a rope stretched f...

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  18. An observer 1.5 m tall is 28.5 m away from a chimney. The angle of e...

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  19. An electrician has to repair an electric fault on a pole of height 4...

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  20. From a point on the ground 40m away from the foot of a tower, the an...

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