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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((tan alpha - tan 3 alpha)/(tan 3 alpha tan alpha))`

B

`p - q = s((tan 3alpha - tan alpha)/(3tan 3 alpha tan alpha))`

C

`p - q = s((tan 3alpha - tan alpha)/(tan 3 alpha tan alpha))`

D

`p - q = s((tan 2 alpha )/(tan 3 alpha tan alpha))`

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