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The length of the shadow of a person s c...

The length of the shadow of a person s cm tall when the angle of a elevation of the sun is `alpha` is p cm. It is q cm when the angle of elevation of the sum is `beta`. Which one of the following is correct when `beta = 3 alpha` ?

A

`p-q=s((tanalpha-tan3alpha)/(tan3alphatanalpha))`

B

`p-q=s((tan3alpha-tanalpha)/(3tan3alphatanalpha))`

C

`p-q=s((tan3alpha-tanalpha)/(tan3alphatanalpha))`

D

`p-q=s((tan2alpha)/(tan3alphatanalpha))`

Text Solution

Verified by Experts

The correct Answer is:
C
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LUCENT PUBLICATION-HEIGHT AND DISTANCE-EXERCISE-12A
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  14. The angle of depression of vertices of a regular hexagon lying in a pl...

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  15. Two poles, one is double in length of other, are standing opposite to ...

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  16. The angle of elevation of top of a house from top and bottom of tree a...

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  17. At a point on a horizontal line through the base of a monument ...

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  18. The angle of elevation of the to of a tower from a point A on the grou...

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  19. There are two vertical posts ,one on each side of a road ,just opposit...

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  20. At the foot of a mountain the elevation of its summit is 45^(@). After...

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