Question

A 45-foot water slide casts a 30-foot shadow.

Find the length of the shadow of a 4-foot tall child
standing nearby.

Answer 1

x = 5.75ft/2.3ft

Step-by-Step:

34ft/13
`(3)/(5)` = 5.75ft/x

34x = 13 3/5 · 5.75

34x ÷ 34 = 78.2 ÷ 34

34ft/13 3/5ft = 5.75ft/2.3ft

Answer 2

2.666666666666666666666666 ( repeating decimal )

Explanation:

It says a 45 foot slide casts a 30 foot shadow.

We notice that 30 is exactly 2 / 3 of 45.

A easier way to notice that is like 30 + (half of 30 which is 15)

so 30 + 15 is 45 which is exactly the height of the water slide.

The we take the 4 foot child. It is 4 foot.

Then we do 4 times 2 / 3 which we got earlier.

which will be 2.66666666666666666666666666666666666

repeating decimal don't know how to write it here