According to the Americans With Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. To the nearest tenth degree what is the maximum angle that the ramp can form with the ground?
Draw a figures, then side opposite angle is 1 ft and horizontal is 12 ft so
tan angle = 1/12.
To find the maximum angle that the ramp can form with the ground according to the Americans With Disabilities Act (ADA), we need to determine the angle at which the ramp rises.
The ADA specifies that a ramp can rise no more than 1 foot for every 12 feet of horizontal distance. This is known as the ramp slope ratio. To find the angle, we can use the trigonometric function tangent.
Tangent is defined as the ratio of the uprise (vertical distance) to the horizontal distance. In this case, the maximum rise is 1 foot, and the corresponding horizontal distance is 12 feet.
Using the formula for tangent, we have:
tan(angle) = rise / run
Substituting the values of rise = 1 foot and run = 12 feet:
tan(angle) = 1 / 12
To find the angle, we can take the inverse tangent (also known as arctan or tan^(-1)) of both sides:
angle = tan^(-1)(1 / 12)
Using a calculator, the result is approximately 4.8 degrees. Therefore, to the nearest tenth degree, the maximum angle that the ramp can form with the ground according to the ADA is 4.8 degrees.