Question

The slide is 4 meters due west of the tire swing and 3 meters due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

Answer 1

The distance between the tire swing and the monkey bars = 5 m

Explanation:

Given:

Distance between tire swing and the slide = 4 m

Distance between monkey bars and slide = 3 m

We have to find the distance between tire swing and the monkey bars.

Let the distance be "h" meters.

From the diagram we can see that when they are arranged they form a right angled triangle.

Where the distance we have to find is the hypotenuse of the triangle.

Using Pythagoras formula:

⇒ (hypotenuse)^2 = (base)^2 + (perpendicular)^2

Plugging the values:

⇒
`(hypotenuse)^2 = (base)^2 + (perpendicular)^2`

⇒
`h^2=b^2+p^2`

⇒
`h=√(b^2+p^2)`

⇒
`h=√((4)^2+(3)^2)`

⇒
`h=√(16+9)`

⇒
`h=√(25)`

⇒
`h=5` m

So,

The distance between the tire swing and the monkey bars = 5 m