### Question Detail

# A flagstaff 17.5 metre high casts a shadow of length 40.25 metre. The height of building, which casts a shadow of length 28.75 metre under similar conditions will be :

- 12 metre
- 12.5 metre
- 13.5 metre
- 14 metre

**Answer: ** Option **B**

**Explanation:**

Less shadow, Less Height (Direct Proportion)

So, let height of building be x metre

then,

\begin{aligned}

40.25 : 17.5 :: 28.75 : x \\

=> x = \frac{17.5*28.75}{40.25} \\

=> x = 12.5

\end{aligned}

So height of building should be 12.5 metre