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Question
A vertical pole 6 m long casts a shadow of length 3.6 m on the ground. What is the height of a tower which casts a shadow of length 18 m at the same time?
Options
10.8 m
28.8 m
32.4 m
30 m
MCQ
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Solution
30 m
Explanation:
The pole and the tower form similar right triangles with their shadows, so heights are proportional to shadow lengths.
`h/18 = 6/(3.6)`
⇒ `h = 6 xx (18/3.6)`
= 6 × 5
= 30 m
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