Question

Unit: GeometryProgressQuestion ID: 88738The movement of the progress bar may be uneven becouse questions be worth more or less (including zero) depending on your answer.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.8 ft2 tHow far from the box is the bottom edge of Troy's ramp?60O V68660OCT26ty

Answer 1

`\sqrt[]{60}`

1) Let's sketch this out to better grasp it:

Note that we have parallel sides, on that box, so we can state that these lengths are congruent (same measure) to each other.

2) Since we have a right triangle formed by the ramp and now we have the height, we can make use of the Pythagorean Theorem so that we can find the length "b"

`\begin{gathered} a^2=b^2+c^2 \\ 8^2=b^2+2^2 \\ 64=b^2+4 \\ 64-4=b^2+4-4 \\ 60=b^2 \\ b^2=60 \\ \sqrt[]{b^2}=\sqrt[]{60} \\ b=2\sqrt[]{15}\approx7.746 \end{gathered}`

As we can see, we had to isolate "b" on one side.

3) Hence, the answer is:

`\sqrt[]{60}`