Answer:
The distance between the tire swing and the monkey bars is 20 feet.
Step-by-step explanation:
We have drawn the diagram four reference.
Given:
the slide is 12 feet due west of the tire swing
So according the diagram;
TS = 12 feet
Also Given:
slide is 16 feet due south of the monkey bars.
So according the diagram;
MS = 16 feet
We need to find the distance between the tire swing and the monkey bars.
according to diagram we need to find the MT.
Solution:
assuming it to be right angle triangle with right angle at S.
we have;
In Δ MTS;

TS = 12 feet
MS = 16 feet
Now applying Pythagoras theorem which states that;
"Sum of the square of the two side of the triangle is equal to square of the hypotenuse."
framing in equation form we get;

Substituting the values we get;

Taking square root on both side we get;

Hence the distance between the tire swing and the monkey bars is 20 feet.