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← JEE Main 2016 · 3 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 89 of 90

JEE Main 2016 · 3 Apr · Shift 1, Mathematics question 89

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, from B to reach the pillar, is :

Choose one option
Answer and worked solution

Official answer: D

With height h, A is h3h\sqrt3 and B is h3\frac h{\sqrt3} from the pillar, so AB =2h3=\frac{2h}{\sqrt3} takes 10 min. B to the pillar, half that distance, takes 5 min.