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A 1.2m tall boy stands at a distance of 2.4m from a lamp post and casts a shadow of 3.6m on the ground. The height of the lamp post is
  • a)
    2m
  • b)
    3m
  • c)
    4m
  • d)
    6m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A 1.2m tall boy stands at a distance of 2.4m from a lamp post and cast...
Solution:

Given, the height of the boy = 1.2 m
Distance of the boy from the lamp post = 2.4 m
Length of the shadow cast by the boy = 3.6 m

Let the height of the lamp post be h meters.

Using the concept of similar triangles, we can say that:

Height of the lamp post / Height of the boy = Distance of the lamp post from the boy / Length of the shadow cast by the boy

h/1.2 = (2.4+distance of the lamp post from the boy)/3.6

h = (1.2 x 2.4)/3.6

h = 0.8 m

Therefore, the height of the lamp post is 2 meters (1.2 + 0.8).

Hence, the correct option is A.
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A 1.2m tall boy stands at a distance of 2.4m from a lamp post and cast...
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