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### Discussion :: Chain Rule

1. 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:

2.  A. 10 m B. 12.5 m C. 17.5 m D. 21.25 m

Explanation :

Let the height of the building x metres.

Less lengthy shadow, Less in the height (Direct Proportion)

40.25 : 28.75 :: 17.5 : x        40.25 x x = 28.75 x 17.5

X=$$\frac { 28.5*17.5 } { 40.25 }$$

x = 12.5

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