An electric pole has a support cable that is attached to the pole 20 ft. from the ground. The cable is anchored on the ground 10 ft. from the base of the pole. How long is the cable? Round to the nearest tenth.(1 point) Responses 22.4 ft. 22.4 ft. 300 ft. 300 ft. 500 ft. 500 ft. 17.3 ft. choose
To find the length of the cable, we can use the Pythagorean theorem.
Let's call the length of the cable "c", the length of the support cable (attached to the pole) "a", and the distance from the base of the pole to the anchor point "b".
According to the given information, we have:
a = 20 ft.
b = 10 ft.
Using the Pythagorean theorem, we know that:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 20^2 + 10^2
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides:
c ≈ √500
c ≈ 22.4 ft.
Therefore, the length of the cable is approximately 22.4 ft.
To find the length of the cable, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides (a^2 + b^2).
In this case, the support cable forms a right triangle, with one side being the 20 ft height of the pole, another side being the 10 ft distance from the base of the pole to the anchor point, and the hypotenuse being the length of the cable.
Using the Pythagorean theorem, we can calculate the length of the cable as follows:
c^2 = a^2 + b^2
c^2 = 20^2 + 10^2
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides, we find:
c ≈ √500
c ≈ 22.4 ft
So, the length of the cable is approximately 22.4 ft.
To find the length of the cable, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the height of the pole is 20 ft, the distance from the base of the pole to the anchor point is 10 ft, and the length of the cable is the unknown, which we'll call "c".
We can set up the equation as follows:
c^2 = 20^2 + 10^2
Simplifying the equation:
c^2 = 400 + 100
c^2 = 500
To solve for c, we take the square root of both sides:
c = √500
Using a calculator, we find that c ≈ 22.4
Therefore, the length of the cable is approximately 22.4 ft.