An object 4.2 feet tall casts a shadow that is 12.6 feet long. How long in feet would the shadow be for an object which is 20.4 feet tall?

a.12 feet
B.6.8 feet
C.28.8 feet
d.61.2 feet

3 answers

Let's use a proportion.

4.2/12.6 = 20.4/x

Cross multiply and solve for x.
height/shadow = 4.2/12.6 = 20.4 /x

4.2 x = 12.6 * 20.4
x = 12.6 * 20.4 / 4.2
x = 61.2

check, the shadow should be about three times as long as the object is high in this problem. It is.
61.2=12.6 * 20.4