# A pole 24 feet high has a shadow eight feet long. A nearby pole is 72 feet tall. How long is it's shadow?

length of shadow of pole will be 24\ \text{feet

#### Explanation:

The light rays coming from the sun are almost parallel.

Thus, we get two similar right triangles formed by the heights of poles h_1=24\ \text{feet & h_2=72\ \text{feet & respective lengths of shadows d_1=8 \text{feet & d_2 \text{feet

Ratio of corresponding sides of two similar triangles is same

${d}_{2} / {d}_{1} = {h}_{2} / {h}_{1}$

${d}_{2} / 8 = \frac{72}{24}$

${d}_{2} = \frac{72 \setminus \cdot 8}{24}$

$= 24$

hence the length of shadow of pole of height $72 \setminus f e e t$ will be 24\ \text{feet