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Rain, pouring down at an angle alpha wit...

Rain, pouring down at an angle `alpha` with the vertical has a speed of `10ms^(-1)`.`A` girl runs against the rain with a speed of `8ms//^(-1)` and sees that the rain makes an angle `beta` with the vertical, then relation between `alpha` and `beta` is

A

`tan alpha=(8+10sinbeta)/(10 cos beta)`

B

`tan beta=(8+10sinalpha)/(10 cos alpha)`

C

`tan alpha=tan beta`

D

`tan alpha=cot beta`

Text Solution

Verified by Experts

The correct Answer is:
B

`sin alpha=x/V_(R),x=V_(R)sin alpha`
`cos alpha=y/V_(R),y=V_(R)cos alpha,Tan beta=(x+V_(G))/y`
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