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Ravi, 1.5 m tall, walks straight away from the foot of a 6 m lamp post at 1.2 m per second. How long is his shadow after 4 seconds?

Competition practiceGeometry

A1.6 m
B1.2 m
C2.4 m
D1.8 m

Step-by-Step Solution

After 4

s

he is 4.8 m from the post. With shadow

s

, similar triangles give

\frac{1.5}{s} = \frac{6}{4.8 + s}

, so

6 s = 7.2 + 1.5 s, 4.5 s = 7.2

and

s = 1.6

m.

Answer: A) 1.6 m

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