On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars? If necessary, round to the nearest tenth.(Pythagorean theorem)

Answer 1

To find the distance between the tire swing and the monkey bars, we can use the Pythagorean theorem.

Let's label the points on the playground:
- Tire swing = Point A
- Slide = Point B
- Monkey bars = Point C

Given that the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars, we can create a right-angled triangle with sides of length 7 feet.

We have:
AB = 7 feet (west direction)
BC = 7 feet (south direction)

Now, to find AC (the distance between the tire swing and the monkey bars), we can use the Pythagorean theorem:

AC^2 = AB^2 + BC^2
AC^2 = 7^2 + 7^2
AC^2 = 49 + 49
AC^2 = 98

Taking the square root of both sides to solve for AC:
AC = √98
AC ≈ 9.9 feet

Therefore, the distance between the tire swing and the monkey bars is approximately 9.9 feet.