GATE EC 2018 Set 1 — Question 5
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?
Correct answer
(B) 3
Solution
Let be the height of the lamp post and be the height of the person.
Given:
Height of person, m
Distance of person from lamp post, m
Length of shadow, mUsing the property of similar triangles formed by the lamp post and the person with their respective shadows:Thus, the height of the lamp post is 3 meters. The correct option is (B).
Given:
Height of person, m
Distance of person from lamp post, m
Length of shadow, mUsing the property of similar triangles formed by the lamp post and the person with their respective shadows:Thus, the height of the lamp post is 3 meters. The correct option is (B).
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