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Maheep started to move in the direction of the East. After moving 17 m, he turned to his left twice and moved 12 m each time. How far is he from starting point?

Solution

✅ Correct Option: 4

Let the starting point be at the origin.

Maheep moves 17 m East, so his position is at (17, 0).


He turns left (now facing North) and moves 12 m. His position is now at (17, 12).


He turns left again (now facing West) and moves 12 m. His position is now at (17 - 12, 12) = (5, 12).


The distance from the starting point (0, 0) to final position (5, 12) is:

d=(5−0)2+(12−0)2d = \sqrt{(5-0)^2 + (12-0)^2}

d=25+144d = \sqrt{25 + 144}

d=169d = \sqrt{169}

d=13d = 13

Therefore, Maheep is 13 m from the starting point.

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