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9. When a man is standing, rain drops appear to himfalling at 60° from the horizontal from his front sideWhen he is travelling at 5km per hour on a horizon-tal road they appear to him falling at 30°, from thehorizontal from his front side. The actual speed ofthe rain is in km per hour):(2006 E)4) 61) 32) 43) 5

Answer»

Given in the question :-

Here |v | = 5 km/hr.

u = ?

θ = 60°

φ = 30°

We know, by the formula

tanφ = usin60° / (v + u cos 60°)

tan 30° = ( u × √3/2 ) / ( v + u/2 )

3/2 u = 5 + u/2

3/2 u - u/2 = 5

u = 5 km/hr

The actual speed of the rain is 5 km/hr

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