One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet from the base at the poll. How long is the cable in feet? a. 25 b. 60 c. 65 d. 85

By applying the Pythagorean theorem, the length of the cable attached from the top of the pole to the ground at a distance of 25 feet from the base of the pole is found to be 65 feet.

Explanation:

In this question, we can apply the Pythagorean Theorem to find the length of the cable. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this scenario, one side is the height of the pole (60 feet) and the other is the distance from the base of the pole to the point where the cable is attached to the ground (25 feet).

The calculation will then be as follows:

Square the length of the pole: 602 = 3600
Square the distance from the pole to the cable's ground attachment: 252 = 625
Add these two results together: 3600 + 625 = 4225
Take the square root of this sum to find the length of the cable: √4225 = 65 feet

So the length of the cable is 65 feet.

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