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
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.
To find the proportion that could be used to find Julian's height, we can use the ratio of the lengths of the shadows.
Julian's shadow length: 6 feet
Building's shadow length: 28 feet
Thus, the proportion that could be used to find Julian's height is:
A) x/6 = 28/31
This equation states that the unknown height (x) divided by Julian's shadow length (6) is equal to the building's shadow length (28) divided by its height (31).