Question

Troy is building a ramp for his toy cars. The plank he is using for the ramp is 8 feet long and is placed on a 2-foot-high box. How far from the box is the bottom edge of Troy's ramp?

Answer 1

you will be using Pythagoras so the setup will be in the image

Answer 2

The box is approx 7.74 feet away from the bottom edge of ramp.

Explanation:

The hypotenuse or the ramp is = 8 feet

The ramp is placed on 2 feet high box.

This 2 feet is the other side or the perpendicular of the triangle.

We have to find the base (How far from the box is the bottom edge of Troy's ramp)

Let this be x

So, as per Pythagoras theorem,

`x^(2) +2^(2) =8^(2)`

`x^(2) +4 =64}`

`x^(2) =60}`

`x=√(60)`

=
`√(2*2*3*5)`

=
`2√(15)`

=
`2*3.872=7.744` feet

The box is approx 7.74 feet away from the bottom edge of ramp.