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

Options

A. `tan alpha=(8+10sin beta)/(10cos beta)`
B. `tan beta=(8+10sin alpha)/(10cos alpha)`
C. `tan alpha=tanbeta`
D. `tan alpha=cot beta`

Answer

b

Explanation

`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)`