Sure, let's find the slope angle from the slope percent.
Slope percent is defined as the rise over the run, also known as the tangent of the slope angle. To find the slope angle, we need to find the arctangent of the slope percent.
Here are the steps we can take to solve this:
1. First, we need to convert the slope percent to a decimal. Since slope percent is a percentage, we do this by dividing the slope percent by 100. So, 56% becomes 56 / 100 = 0.56.
2. Next, we find the arctangent of the slope percent. The inverse tangent, or arctangent, can be found in any scientific calculator. This is typically written as tan^-1 or atan. When we find the arctangent of 0.56, we get approximately 0.51. This value is in radians.
3. Next, we need to convert this from radians to degrees. The conversion factor from radians to degrees is approximately 57.296, so you multiply the result by this factor. Thus, 0.51 radians is approximately 29.25 degrees.
4. Lastly, since we want to round to the nearest tenth of degree. we round 29.25 to 29.2 degrees.
Therefore, for a slope percent of 56%, the slope angle is approximately 29.2 degrees when rounded to the nearest tenth of a degree.