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A girl of height 90 cm is walking away from the base of a lamp post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

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140 cm

150 cm

160 cm

170 cm

answer is C.

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Detailed Solution

Concept: Draw a diagram of the given data to get an idea of what we need to find. Show that the triangles formed in the diagram are congruent, and thus find the girl's shadow.
Consider the girl of height is at point

on the ground from the lamp post after 4 seconds.

Assume that the length of the shadow of the girl be

when she is at position D.

and

(Common)
Thus,

(AA similarity)

(Corresponding sides are proportional)

So, length of her shadow after

seconds is

cm.
Hence, the correct answer is option 3) 160cm.

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