Question

Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 10 feet from the bottom of the pole. Find the length of the rope, rounded to the nearest tenth.

Answer 1

Length of the rope = 15.6 ft.

Explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒
`(hypotenuse)=√(opposite^2+ adjacent^2)`

⇒ Plugging the values.

⇒
`h=√(12^2 + 10^2)`

⇒
`h=√(144 + 100)`

⇒
`h=√(244)`

⇒
`h=15.62` ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.