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Grade: 11

                        

A man running on a horizontal road at 8km/h finds the rain falling vertically .he increases his speed to 12km/h and find that the dropes make angle 30°with the vertical .find the speed and direction of the rain with respect to the road .

2 years ago

Answers : (1)

Arun
24738 Points
							
Since when the person runs at 8 km/h the rain seems to be coming verticaly down thus the horizontal component of rain, Vx is 8 km/h
When he incrreases his relative speed by 4 km/h with the horizontal component of rain, it seems to fall at an angle of 30 degrees with the vertical.
It means the vertical component, Vy is: 4/Vy = tan 30
i.e.
Vy = 6.93 km/h
V = 10.58 km/h
and angle of falling is: tan-1(8/6.93)
2 years ago
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