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To a man walking at the rate of 3 km//h ...

To a man walking at the rate of `3 km//h` the rain appear to fall vetically douwnwards. When he increases his speed `6 km//h` it appears to meet him at an angle of `45^@` with vertically. Find the speed of rain.

A

`10 sqrt(5) m//s`

B

`10 m//s`

C

`5sqrt(5) m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
A man is …….

`tan = (15-V_(x))/(V_(y)) implies V_(y) = 5`
`V = sqrt(V_(x)^(2)+V_(y)^(2)) = 5sqrt(5)`
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