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Trigonometry help?
The Uniform Federal Accessibility Standards specify that the ramp angle used for a wheelchair ramp must be less than or equal to 4.78°. The length of one ramp is 16 feet. The vertical rise is 1 foot. Estimate the ramp’s horizontal distance and its ramp angle. Does this ramp meet the Uniform Federal Accessibility Standards?
3 Answers
- ?Lv 77 months ago
Using Pythagoras: horizontal distance: 15.96871942 feet
Using Tangent rule for right angle triangle: 3.583321699 degrees
Yes it does meet with the required angle.
- ?Lv 67 months ago
In this problem the ramp forms a right angled triangle with hypotenuse, h, = 16 ft and height =1ft;
Ramp's horizontal distance = (h^1-1)^(1/2) = (256-1)^(1/2) = 255^(1/2);
Ramp's angle with the horizontal is arctan[1/(255)^(1/2)] = arctan(0.06262242911);
= 3.353321698° which is < 4.78°;
The ramp meets UFA's standards.
- thomas fLv 77 months ago
The angle of a 16 foot ramp with a 1 foot rise is 1 divided by 16 radians=0.0625 radians. This angle in degrees=0.0625 x 180/pi=3.58 degrees.
The horizontal distance = 16cos(0.0625radians)=15.99999 feet
