One end of a wire is attached to the top of a 24-foot pole; the other end of the wire is anchored to the ground 18 feet from the bottom of the pole. If the pole makes an angle of 90° with the ground, find the length of the
wire.

30 feet

Step-by-step explanation:

We can use Pythagorean theorem for this question because the pole and the wire that is anchored to the ground forms an right triangle because the pole makes an angle of 90 degrees.

One side of the right triangle formed is equal to 24 feet, and because the wire that is anchored to the ground is 18 feet from the bottom of the pole, another side is 18 feet.

Pythagorean theorem states that . With a and b being the sides of the right triangle and c being the hypotenuse. In this problem, the length of the wire is equal to the hypotenuse of the triangle.

a=24 and b =18. 24 squared is equal to 576, and 18 squared is equal  to 324. We add 576 and 324, which is 900. This means that =900. To find c, we find the square root of 900, which is 30. Therefore, the length of the wire is 30 feet.

30 feet

Step-by-step explanation:

1. The 24-foot pole and the 18 feet from the bottom of the pole form a right angle, meaning that when you add the length of the wire, a right triangle forms.

2. "24-foot pole" is the height, and "18 feet from the bottom of the pole" is the base. The length of the wire is the hypotenuse.

3. To find the hypotenuse of a right triangle, we can use the Pythagorean theorem to solve it: , where a = leg of triangle, b = leg of triangle, and c = hypotenuse (or in this case, the wire).

4. Now, let's apply the formula:

Step 1: Simplify both sides of the equation.

Step 2: Take square root of both sides.

Step 4: Check if solution is correct.

Therefore, the length of the wire is 30 feet.

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step-by-step explanation: