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

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

anonymous · Answer

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.

campbell_st · Answer

change all the measurements to inches... 

draw a diagram  

then use ratios of corresponding sides in similar triangles

|dw:1415214924712:dw|

then 

$$\frac{h}{66} = \frac{72}{24}$$

just solve for h