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

1 Answer

Answer:

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=72/24#

#d_2={72\cdot 8}/{24}#

#=24#

hence the length of shadow of pole of height #72\ feet# will be #24\ \text{feet#