You are going to raise a banner for the school carnival. How long do you need to cut the rope for the wires that need to be 10 feet from the ground and 10 feet above the pole?
To determine the length of the rope needed, we can use the Pythagorean theorem as the rope will form a right triangle with the ground and the pole.
Let the length of the rope needed be represented by "x". The height of the pole is given as 10 feet, and the distance from the ground to the wire is also 10 feet.
According to the Pythagorean theorem, the square of the hypotenuse (x) is equal to the sum of the squares of the other two sides. In this case, it can be written as:
x^2 = 10^2 + 10^2
x^2 = 100 + 100
x^2 = 200
Taking the square root of both sides:
x = √200
x ≈ 14.142 feet
Therefore, the length of the rope needed should be approximately 14.142 feet.