Question 75

A man starts from point ‘O’, travels 20 km towards east to reach point ‘A’, turns right and travels 10 km to reach point ‘B’, turns right and travels 9 km to reach point ‘C’, turns right and travels 5 km to reach point ‘D’, turns left and travels 12 km to reach point ‘E’ and then turns right and travels 6 km to reach point ‘F’. What is the shortest distance between point ‘E’ and point ‘C’?

Solution

The below figure can be drawn using given statements


Here, Distance between E and C = $$\sqrt{12^2 + 5^2} = \sqrt{144+25} = \sqrt{169} = 13 km$$

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