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.
We can use the Pythagorean theorem to solve this problem.
Let's call the length of the cable "c", the distance from the pole to the ground "a", and the distance from the anchor to the pole base "b".
According to the problem, we have:
a = 20 ft
b = 10 ft
The Pythagorean theorem states that in a right 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 other two sides.
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Plugging in the values we know, we get:
c^2 = 20^2 + 10^2
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides to find c, we get:
c = √(500) ≈ 22.4
Therefore, the length of the cable is approximately 22.4 feet.
To find the length of the cable, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right 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 other two sides.
Let's label the distance from the ground to the point where the cable is attached as "a" and the distance from the base of the pole to the anchor point as "b". The length of the cable will be the hypotenuse, which we'll label as "c".
We have:
a = 20 ft
b = 10 ft
Using the Pythagorean theorem, we can solve for c:
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 get:
c ≈ √500
c ≈ 22.4 ft
Therefore, the length of the cable is approximately 22.4 ft (rounded to the nearest tenth).
To find the length of the cable, we can use the Pythagorean theorem. The Pythagorean theorem states that 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 pole, the support cable, and the ground form a right triangle.
Let's consider the pole as the vertical side, the support cable as the hypotenuse, and the ground as the horizontal side.
The vertical side (pole) is 20 ft, and the horizontal side (ground) is 10 ft.
Using the Pythagorean theorem, we can calculate the length of the cable as follows:
c^2 = a^2 + b^2
where c is the length of the cable, a is the vertical side (20 ft), and b is the horizontal side (10 ft).
c^2 = 20^2 + 10^2
c^2 = 400 + 100
c^2 = 500
To find c, we need to take the square root of 500:
c ≈ √500
c ≈ 22.36 ft
Therefore, the length of the support cable is approximately 22.36 ft, rounded to the nearest tenth.