A man is six feet tall and casts a shadow 4 feet long. At the same time a child is 4.5 feet tall, how long is her shadow?

Cross multiply and solve for x.

6/4 = 4.5/x

x = 3 feet long

Thats an easy one it's three.

To find the length of the child's shadow, you can set up a proportion using the height and shadow length of the man.

Let's call the length of the child's shadow "x". The proportion can be written as:

6 feet (height of the man) / 4 feet (length of the man's shadow) = 4.5 feet (height of the child) / x (length of the child's shadow)

Now, cross-multiply and solve for "x":

6 feet * x = 4.5 feet * 4 feet

6x = 18 feet

x = 18 feet / 6

x = 3 feet

Therefore, the length of the child's shadow is 3 feet.