Answer:
[tex]57.2\ ft[/tex]
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
[tex]tan(5^o)=\frac{y}{x}[/tex]
we have
[tex]y=5\ ft[/tex]
substitute and solve for x
[tex]tan(5^o)=\frac{5}{x}[/tex]
[tex]x=\frac{5}{tan(5^o)}[/tex]
[tex]x=57.2\ ft[/tex]
