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Q.
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 ?
A.
14 cm
B.
13.5 cm
C.
12.5 cm
D.
11.4 cm
View Answer
Correct choice: C
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
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