A man starting from a place P went x metre (x\gt 120\text{ m}) East before turning South. He went 40 m straight before turning to West. He went 60 m to reach a place Q. From Q he went 200 m North and reached a place R. If PR=200\text{ m}, then what is x equal to?
- A. 150 m
- B. 180 m ✓
- C. 200 m
- D. 240 m
Correct Answer: B. 180 m
Explanation
Setting P at (0,0), R is located at (x-60, -40+200) = (x-60, 160). The distance PR = \sqrt{(x-60)^2 + 160^2} = 200. Solving gives (x-60)^2 = 14400 \implies x-60 = 120, so x = 180 m.
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