Question

3) Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's

Answer 1

You are given the height of the building and the length of the shadow the building gives, so you can set that up as a proportion of Height of building over the length of the shadow so 31/28.

Now you can set the same proportion for Julian, using X for her height, so you would have x/6.

To solve for her height, set the two proportions equal and solve for x:

31/28 = x/6

Cross multiply:

31 * 6 = 28 *x

186 = 28x

Divide both sides by 28:

x = 186 / 28

x = 6.64 feet tall