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a 25 foot tall pole is perpendicular to the ground. a rope is stretched from the ground to the top of the pole, if the rope is attached to a rock on the ground 15 feet from the base of the pole, how long is the rope, rounded to the nearest to the nearest tenth of a foot

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The length of the rope that is attached to the top of the pole and the rock at ground level is 29.16 feet

Height of the pole = 25 feet

Distance of the rock from the pole at the ground level = 15 feet

A rope is attached from the top of the pole to the rock on the ground

Let the Height of the Pole be AB

Distance of rock from pole in ground level be BC

Length of rope be AC

Thus, the length of the rope can be found using Pythagoras' theorem which states that the

Square of the hypotenuse is equal to the sum of the square of the other two sides.

AC² = AB²+ BC²

= 25² + 15²

= 625 + 225

AC² = 850

AC = √850

AC = 29.155

Therefore, the length of the rope is 29.155

After rounding off, the length of the rope will be 29.16 feet

a 25 foot tall pole is perpendicular to the ground. a rope is stretched from the ground-example-1
User KikoV
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