9514 1404 393
Answer:
a. see below for diagram. Angle for the length; length for the angle
b. 6.84°; not to code
c. 36.1 ft
Explanation:
a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.
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b. The angle the ramp makes can be found using the tangent relation.
Tan = Opposite/Adjacent
tan(angle) = 3/25
angle = arctan(3/25) ≈ 6.84°
The ramp will make a 6.84° angle with the ground. It will not meet code.
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c. We can find the distance from the building where the ramp must start using the same trig relation.
tan(4.75°) = (3 ft)/(distance)
distance = (3 ft)/tan(4.75°) ≈ 36.1 ft
The ramp must start 36.1 feet from the building to exactly meet code.