Question

The Americans with Disabilities Act states that ramps must have an angle less than or
equal to 4.8 degrees. Remember, a 4.8 degree angle in a right triangle has a 1 : 12
ratio for the legs. Design 2 ramps that meet the Americans with Disabilities Act
requirements.

Answer 1

The designs that meet the requirement have leg lengths that

are in the ratio of 1 : 12.

Correct responses;

Two ramps that meet the Americans with Disabilities Act are;

• A ramp having leg lengths of 3 feet by 36 feet

• A ramp with leg lengths of 5 inches by 60 inches

How to use given ratios to find the acceptable designs?

The required measure of the angle of a ramp according to the

Americans with Disability Act is θ ≤ 4.8°

• The ratio of the legs of a right triangle having a 4.8° angle is 1 : 12

Required;

To design two ramps that meet the requirements.

Solution;

Given that the ratio of the leg lengths is 1 : 12, we have;

Expressed as a fraction, we have;

$Required \ ratio \ of \ leg \ lengths = \mathbf{\dfrac{1}{12}}$

Possible leg lengths are found by multiplying the numerator

and denominator of the above fraction by a constant as

follows;

$Possible \ leg \ length \ for \ the \ ramps = \dfrac{1 \times 3}{12 \times 3} = \mathbf{ \dfrac{3}{36}}$

• Which gives a ramp having leg lengths of 3 feet and 36 feet

$A \ second \ possible \ combination \ of \ leg \ length \ for \ the \ ramp = \dfrac{1 \times 5}{12 \times 5} = \mathbf{\dfrac{5}{60}}$

• Giving a ramp having leg lengths of 5 inches and 60 inches

Learn more about ratios here:

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