Q.

A man moves 10m in a direction 370 East of North, than 52m in South-East direction and finally 20m in a direction 530 South of West. If the magnitude of resultant displacement of man is 1252nm Find the value of n.

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answer is 2.

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Detailed Solution

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The sum of x-component is

x=10sin3752cos4520cos53=12m

The sum of y-component is

y=10cos3752sin4520sin53=13m

Thus, the magnitude of resultant displacement is

(12)2+(13)2=144+169=313m, n=2

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