A person moves towards north a distance of 20 m from a point P and reaches at Q. He turns 135° in clockwise direction and goes 40√ 2 m. From here he turns 135° clockwise and goes 25 m. How far did he from initial point.
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Answer:
15√5 m = 33.5 m
Step-by-step explanation:
Let Call east i , West - i
North j , South - j
A person moves towards north a distance of 20 m from a point P
=> 10 j
He turns 135° in clockwise direction and goes 40√ 2 m
=> 90 - 135° = - 45°
40√2Cos(-45) i + 40√2Sin(45)j
= 40 i - 40 j
He turns 135° in clockwise direction
=> -45° - 135° = - 180° = 180°
25Cos180 i + 25Sin180j
= -25i + 0
10j + 40i - 40j - 25i
= 15 i - 30j
Distance from initial Point = √15² + 30² = 15√5 m = 33.5 m
in South East
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