A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 8 feet from the tent. If the guy rope is 12 feet long, how long is the tent pole?
Use the Pythagorean Theorem.
√(12^2 - 8^2) = √80 = 4√5 feet long
To find the length of the tent pole, we can use the Pythagorean theorem, which 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.
Let's label the length of the tent pole as 'x' feet.
Using the Pythagorean theorem, we have:
x^2 = (8^2) + (12^2)
Simplifying the equation:
x^2 = 64 + 144
x^2 = 208
Taking the square root of both sides to solve for x:
x = √208
x ≈ 14.42
Therefore, the length of the tent pole is approximately 14.42 feet.
To find the length of the tent pole, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the guy rope acts as the hypotenuse and the distance from the tent to the peg (8 feet) is one of the other sides. Let's call the length of the tent pole "x".
By substituting these values into the Pythagorean theorem, we can solve for "x":
x^2 = (8^2) + (12^2)
x^2 = 64 + 144
x^2 = 208
To find the value of "x", we need to take the square root of both sides:
x = √208
Using a calculator, we find that x is approximately 14.42 feet.
So, the tent pole is approximately 14.42 feet long.