Question

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?
A)
x
6
=
31
28
B)
x
6
=
28
31
C)
6
x
=
31
28
D)
x
28
=
31
6

Answer 1

Answer:  Option 'A' is correct.

Explanation:

Since we have given that

Length of Julian's shadow = 6 feet

Height of tall building = 31 feet

Length of shadow of building = 28 feet

Let Height of Julian be x

Since there is direct variation between height and shadow,so

Required proportion will be

$\frac{x}{6}=\frac{31}{28}$

Now, we'll calculate the value of x i.e. height of Julian,

$x=\frac{31\times 6}{28}=6.64\ feet.$

Hence, Option 'A' is correct.

Answer 2

J/6=31/28  because of similar triangles....

j=6.64ft