Pre calculus

ramp needs an angle of elevation no greater than 4.8. the business has 8 ft to build the ramp. the ramp must rise 6 inches above the ground. can a ramp be built in this space? if a ramp can be built what is the minimum horizontal distance possible?

please show work. i'm totally lost.

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  1. let the rise be x ft, then , 1/2 < x < 8
    the run will be 8-x ft

    slope of ramp ≤ tan 4.8° or slope ≤ .08397...

    slope = x/(8-x) ≤ .08397..
    x ≤ .671778... - .08397x
    1.08397.. x ≤ .671778..
    x ≤ .6197 ft

    So the rise has to be from .5 ft to .6197 ft
    and the length would be from 7.5 ft to 7.38 ft

    Finish answering the question.

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