Geometry

Triangles

Medium

A man 2 m tall is walking away from a street light of height 10 m. If the length of his shadow is 6 m, find the distance of the man from the street light.

18 m

24 m

28 m

30 m

✅ Correct Option: 2

Let the man be $d$ m from the pole. The triangles formed by the pole and by the man are similar.

$\frac{2}{10} = \frac{6}{d+6} \Rightarrow 2(d+6) = 60 \Rightarrow d + 6 = 30 \Rightarrow d = 24$ m.

2023: 21 May Shift 1

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Solution