Answer:
The length of new ramp is 49.03 ft.
Step-by-step explanation:
It is given that 26 ft long ramp is used to reach 10 ft up a wall. The ramp covers a horizontal distance of 24 ft.
If the horizontal distance is doubled, then the horizontal distance is 48 ft. The height remains same. Therefore the height of ram is 10 ft.
Use pythagoras in new right angle triangle.
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](AE)^2=(AD)^2+(ED)^2[/tex]
[tex](AE)^2=(48)^2+(10)^2[/tex]
[tex](AE)^2=2304+100[/tex]
[tex]AE=\sqrt{2404}[/tex]
[tex]AE=49.0306027\approx 49.03[/tex]
Therefore the length of new ramp is 49.03 ft.
