Question

Find the height of the pole if the shadow of a boy 5 ft. 6 in. tall is 2 ft. and the shadow of the pole is 2 yards.

192 inches
195 inches
198 inches

Answer 1

5 ft. 6 in. = 66 in.
2 ft. = 24 in.
2 yds. = 72 in.
66/24 = x/72 = 66/1 = x/3
x = 66(3) = 198 in.

Answer 2

change all the measurements to inches...

draw a diagram

then use ratios of corresponding sides in similar triangles



then

\[\frac{h}{66} = \frac{72}{24}\]

just solve for h