A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ?
Aptitude
Height and Distance
Choose an option
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A14 cm
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B13.5 cm
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C12.5 cm
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D11.4 cm
Answer
Correct Answer: 12.5 cm
Explanation
Let the required height of the building be x meter
More shadow length, More height(direct proportion)
Hence we can write as
(shadow length) 40.25 : 28.75 :: 17.5 : x ⇒ 40.25 × x = 28.75 × 17.5 ⇒ x = 28.75 × 17.5/40.25 = 2875 × 175/40250 = 2875 × 7/1610 = 2875/230 = 575/46 = 12.5 cm