How do I figure out the degrees of a driveway if it slopes 5'- 5/1" in a total of 45' ft.?

Answer 1

Not sure what is meant by the 5`- 5/1" you give. For the purpose of calculation, suppose this to be 5` 5.5 ". It is the calculation that matters.
Let angle of elevation be x° and length of driveway = 45 `.
sin x° = 5.46 / 45
x = 6.97°

Answer 2

If the 45 feet is the horizontal distance, then the angle is that angle whose tangent is the amount by which the driveway falls in 45 feet. If that is 5 feet, then the slope is 1/9, and the angle is approximately 60/9 = 6.6 degrees. The number 60 is a sloppy approximation for the number of degrees in a radian, and for small angles the sine, tangent, and angle in radians are nearly equal. If you want a more precise answer, dig out the scientific calculator.

Answer 3

It is the opposite (5' 1/5") divided by the Hypotneuse (45'). Take that answer and find the SIN of it. That will be your angle...

Answer 4

5 feet and how many inches?

I'm guessing it's about 6.86 degrees.

Here's how you do it......angle = tanˉ¹(5.86/45)

I did not know what 5' - 5/1" was....I took it as 5 feet 5 inches, but you have to convert the inches to feet before you use the above formula. You can email me if you need/want to.