A 26-meter guy wire is attached to an upright pole 24 meters from the ground. How far from the pole must the wire be anchored in the ground? Looking for the hypotenuse.
The hypotenuse is given -- 26 meters.
You apparently are looking for the other leg.
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 + 576 = 676
a^2 = 100
a = ______
To find the distance from the pole where the wire must be anchored in the ground, you can use the Pythagorean theorem, which 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.
In this case, the pole, the wire, and the distance in the ground form a right triangle. The vertical side represents the distance from the ground to the pole, which is 24 meters. The hypotenuse represents the length of the wire, which is 26 meters.
Let's denote the distance from the pole to the anchor point in the ground as x.
Using the Pythagorean theorem, we have:
x^2 + 24^2 = 26^2
Simplifying the equation:
x^2 + 576 = 676
x^2 = 676 - 576
x^2 = 100
Taking the square root of both sides to solve for x:
x = √100
x = 10
Therefore, the distance from the pole where the wire must be anchored in the ground is 10 meters.
To find the distance from the pole where the wire must be anchored in the ground, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the height of the pole is one side, the distance from the pole to the ground is the other side, and the length of the guy wire is the hypotenuse. Let's label the distance from the pole to the ground as x.
According to the Pythagorean theorem, we have the equation:
x^2 + 24^2 = 26^2
Now, let's solve for x:
x^2 + 576 = 676
Subtract 576 from both sides to isolate x^2:
x^2 = 100
Take the square root of both sides to find x:
x = √100
x = 10
Therefore, the distance from the pole where the wire must be anchored in the ground is 10 meters.