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

To a man walking at the rate of 3 km/h the rain appears to fall vertically. When he increases his speed 106 km/h it appears to meet him ar an angle of 450 with vertical. Find the angle made by the velocity of rain with the vertical and its value.

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From the diagram `Tan 45^(@)=(3)/(4) ....(1) and Tan theta=(3)/(4) ......(2)`
From (1) and (2)`theta =45^(@)` and
`:. sin5^(@)=(3)/(V_(R)),(1)/(sqrt(2))=(3)/(V_(R)) " " V_(R)= 3sqrt(3)` kmph
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