SOLUTION: https://cds.flipswitch.com/tools/asset/media/590882 Wheelchair ramps require specific ratios of height to length to make them usable by people who use wheelchairs. In this proje

Algebra ->  Triangles -> SOLUTION: https://cds.flipswitch.com/tools/asset/media/590882 Wheelchair ramps require specific ratios of height to length to make them usable by people who use wheelchairs. In this proje      Log On


   

Question 1106394: https://cds.flipswitch.com/tools/asset/media/590882
Wheelchair ramps require specific ratios of height to length to make them usable by people who use wheelchairs. In this project, you'll investigate the angles and distances of these ramps. The Americans with Disabilities Act (ADA) requires a slope of no more than 1:12 for wheelchairs and scooters for business and public use.
The ramp should make no more than a __________° angle with the ground in order to comply with the ADA.
Which of the following algorithm(s) would allow you to solve for the value that belongs in the blank in the previous sentence?
sin^−1 ⁡AB/AC
cos^−1 ⁡AB/AC
sin^−1⁡ CB/AC
cos^−1 ⁡CB/AC
Found 2 solutions by Boreal, addingup:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
AC is the hypotenuse and is known
CB is the opposite side to the angle with the ground.
One uses the sine with the opposite and the hypotenuse.
sin^(-1): CB/AC

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is rise over run. The 1:12 ratio is very common, 1 inch per foot (1 foot = 12 inches). Run is the horizontal length, so the slope will be a bit longer because it's the hypotenuse of this triangle.
To calculate the slope in degrees (I used 3:36 which is exactly the same as 1:12. You can change the numbers to 1 and 12 and recalculate, you'll get exactly the same answer):