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 height?
Responses
A x6
= 2831
x 6 = 28 31
B 6x
= 3128
6 x = 31 28
C x6
= 3128
x 6 = 31 28
D x28
= 316
x 28 = 31 6
E x31
= 286
1 answer
C) x6 = 3128, because the proportion of Julian's shadow length to his height is the same as the proportion of the building's shadow length to its height. So we can set up the proportion: 6/x = 28/31 and solve for x. Cross-multiplying and simplifying gives us 31x = 6*28, or x = 3128.
2 answers