Answer:
The distance is 9.17 feet.
Step-by-step explanation:
The ramp, vertical distance it is lifted, and the ground form a right triangle, whose hypotenuse the ramp, and whose base and perpendicular are the ground and the lifted distance respectively.
Thus we have a triangle whose hypotenuse [tex]H[/tex] is 10 feet, the perpendicular [tex]P[/tex] is 4 feet, and a base [tex]B[/tex] feet.
The Pythagorean theorem gives:
[tex]H^2=P^2+B^2[/tex]
We substitute the values [tex]H=10[/tex], [tex]P =4[/tex] and solve for B:
[tex]B=\sqrt{H^2-P^2} =\sqrt{10^2-4^2} =9.17.[/tex]
Thus the distance is 9.17 feet.
