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A boy 1.6 m tall stands 4 m from a lamp post. His shadow is 2 m long.
Using similar triangles, find the height of the lamp post (in m).

Class 10Similarity and CongruenceGeometry — Similarity

A9.6
B3.8
C4.8
D5.8

Step-by-Step Solution

Lamp tip, boy tip and shadow tip form similar triangles.

\frac{h}{4 + 2} = \frac{1.6}{2}

, so

h = 6 \times 0.8 = 4.8

m.

Answer: C) 4.8

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