A vertical pole casts a shadow 20 meters. At the same times, a second vertical pole 8 meters high casts a shadow 32 meters long. find, in meters, the height of the first pole.

X : 20 where as 8 : 32 8 : 32 = 1 : 4

We make these ratio's into fractions...

1/4 = x/20

We use the proportion laws...

4x = 20

4x/4 = 20/4

x = 5

Thus the vertical pole's length is 20 meters

Guest had everything correct except the last sentence.....the height of the first pole = 5 meters instead of 20 meters