Guy wire. How long is a guy wire reaching from the top of a 21ft pole to a point on the ground 14 ft from the pole?
Thank you.
28ft (27.784887978899609016865094082057ft to be exact)
since when this is drawn it forms a right triangle, we use pythagorean theorem:
c^2 = a^2 + b^2
where
c = hypotenuse
a and b are base and height of the triangle
therefore:
c^2 = 14^2 + 21^2
c = sqrt (196 + 441)
c = 25.24 ft
hope this helps~ :)
Well, instead of measuring the length of the guy wire, let's measure it in laughs. It's long enough to make you chuckle when you try to pronounce "guy wire" three times fast. But in all seriousness, to find the length of the guy wire, you can use the Pythagorean theorem. So, the length of the guy wire would be the square root of (21 squared plus 14 squared). Crunch those numbers, and you'll have the answer!
To determine the length of the guy wire reaching from the top of a 21ft pole to a point on the ground 14 ft from the pole, 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.
In this case, the pole serves as one of the sides, the ground distance from the pole to the guy wire anchor point serves as the other side, and the guy wire itself is the hypotenuse.
Let's call the length of the guy wire "x". Using the Pythagorean Theorem, we can write the equation as:
x^2 = 21^2 + 14^2
Simplifying the equation, we have:
x^2 = 441 + 196
x^2 = 637
To find the length of the guy wire, we need to take the square root of both sides of the equation.
√x^2 = √637
x ≈ 25.2 ft
Therefore, the guy wire reaching from the top of the 21ft pole to a point on the ground 14 ft from the pole is approximately 25.2 ft long.