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Two persons are 'a' metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is (a)`a/4` (b) `a/(sqrt(2))` (c) `asqrt(2)` (d) `a/(2sqrt(2))`

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RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
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  15. Two persons are 'a' metres apart and the height of one is double that ...

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  16. A tower subtends an angle of 30^o at a point on the same level as its ...

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  17. It is found that on walking x metres towards a chimney in a hori...

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  18. The length of the shadow of a tower standing on level ground is fou...

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  19. The tops of two poles of height 16 m and 10 m are connected by a wir...

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