You are to run a conduit diagonally cross a parking lot that is 200 ft log and 60 ft wide. How much conduit will you need to complete this run?
Remember the Pythagorean Theorem? The distance d is
d^2 = 200^2 + 60^2
208.806
To determine how much conduit you will need for a diagonal run across a parking lot, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled 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 diagonal run across the parking lot forms the hypotenuse of a right-angled triangle, and the length and width of the parking lot are the other two sides. Therefore, you can use the Pythagorean theorem to calculate the length of the diagonal run, which will represent the amount of conduit you will need.
The Pythagorean theorem equation is as follows:
a^2 + b^2 = c^2
In this equation:
- "a" and "b" represent the lengths of the two sides (the length and width of the parking lot).
- "c" represents the length of the hypotenuse (the diagonal run).
So, in your case:
- The length of the parking lot (a) is 200 ft.
- The width of the parking lot (b) is 60 ft.
- The length of the diagonal run (c) is what we need to calculate.
Using the Pythagorean theorem equation, we can solve for c:
200^2 + 60^2 = c^2
Simplifying the equation:
40000 + 3600 = c^2
43600 = c^2
Now, take the square root of both sides to solve for c:
c = √43600
Using a calculator, the square root of 43600 is approximately 208.71.
Therefore, the length of the diagonal run (and the amount of conduit you will need) is approximately 208.71 ft.