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

Answer:

Length of the rope = 15.6 ft.

Step-by-step 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.

⇒ $(hypotenuse)=\sqrt{opposite^2+ adjacent^2}$

⇒ Plugging the values.

⇒ $h=\sqrt{12^2 + 10^2}$

⇒ $h=\sqrt{144 + 100}$

⇒ $h=\sqrt{244}$

⇒ $h=15.62$ ft

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