Question
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
Answer: Option B
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Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
So, 40.25 : 28.75 :: 17.5 : x \( \Leftrightarrow\) 40.25 x x = 28.75 x 17.5
x = \(\frac{28.75\times17.5}{40.25}\)
x= 12.5
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