a 6 ft adult has a shadow 3.6 ft long. How long is the shadow of a 5 ft child standing next to the adult?

2.6ft

Cross multiply and solve for x.

6/3.6 = 5/x

Oh yea yea

2.6 To determine the length of the shadow of the 5 ft child, you can set up a proportion using the given information.

Let's assign variables:
Let x be the length of the shadow of the 5 ft child.

We have the following ratios:
6 ft adult's height : 3.6 ft adult's shadow length
5 ft child's height : x ft child's shadow length

Using these ratios, we can set up the proportion:

(6 ft / 3.6 ft) = (5 ft / x ft)

To solve for x, we can multiply both sides of the equation by x:

(6 ft / 3.6 ft) * x = 5 ft

Now, let's simplify the equation:

x = (5 ft * 3.6 ft) / 6 ft

x ≈ 3 ft

Therefore, the shadow of the 5 ft child standing next to the adult would be approximately 3 ft long.