SOLUTION: 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 thes
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Question 1062397: 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.
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If the slope of the ramp is exactly 1:12, what answer choice correctly represents approximations of CB and AB?
CB≈14.94816 ft and AB≈1.24568 ft
CB≈1.24568 ft and AB≈18.68520 ft
CB≈18.68520 ft and AB≈1.24568 ft
CB≈1.24568 ft and AB≈14.94816 ft
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?
cos−1 AB/AC
sin−1 AB/AC
sin−1 CB/AC
cos−1 CB/AC
The ramp should make no more than a __________° angle with the ground in order to comply with the ADA.
Solve the algorithm you chose in the previous question and enter your answer, rounded to the hundredth.
NEED HELP
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is D. CB is 1:12 of AB
1.24568 is 1/12th of 14.94816.
We want a ratio of CB/AB, and that is sine
Therefore arc sin 1.24568/15= the angle sin^(-1)CB/AB
And the angle is 4.76 degrees.
In the instance where the slope is 1:12, the hypotenuse is sqrt (1^2+12^2)=sqrt (145)
The arc sin of 1/sqrt (145)=4.76 degrees
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