science
Grade-11
Easy

Question

A man is walking in the rain with the speed of 6 m/s in the west direction, and it is raining vertically downwards with the speed of 3 m/s. Find the direction of the person umbrella so that the rain doesn't  wet him.

 

  1. 64
  2. 32
  3. 65
  4. 55

hintHint:

64°

The correct answer is: 64


    OP = Vr + (-Vm) = Vr - Vm = Vrm
    tan theta space equals space P over B space equals space fraction numerator plus 6 over denominator 3 end fraction space equals space plus 2 space
tan theta space equals space plus 2
theta space equals space tan to the power of negative 1 end exponent space left parenthesis space plus 2 right parenthesis space
theta space equals space 64 to the power of omicron
    Therefore, a person should hold his umbrella at an angle of 64° at the verticle so that rain does not wet him.

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