Question

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`

Answer 1

Correct Answer - 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`