4851. 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?
- A. 10 m
- B. 21.25 m
- C. 17.5 m
- D. 12.5 m
Check answer and explanation
Answer: 12.5 m
Explanation Let the height of the building be x meters. Less lengthy shadow, Less in the height ( Direct Proportion ) ∴ 40.25 : 28.75 :: 17.5 : x ⇔ 40.25 × x = 28.75 × 17.5 x = 28.75 × 17.5/ 40.25 ⇒ x = 12.5