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.
- 64
- 32
- 65
- 55
Hint:
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](data:image/png;base64,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)
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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