To a person running at a speed 8 km/h rain appears to fall vertically. he increases his speed to 12 km/h and finds that the drops make angle 30 degrees with vertical. find the actual speed of rain.
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Explanation:
Shows that the horizontal component of rain =8 km/hr as the relative velocity of the rain has only a vertical component with respect the man.
Va=8km/hr
Vrm=Vr-Vm=(8-Vb)-12=-4-Vb
tan30=4/Vb
Vb=4root 3 km/hr
velocity of rain=(8-4 root 3)km/hr
tan aplha =2/(root 3)
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