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

Unit GeometryProgressQuestion ID 88738The movement of the progress bar may be uneven becouse questions be worth more or less including zero depending on your an class=

Respuesta :

[tex]\sqrt[]{60}[/tex]

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"

[tex]\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}[/tex]

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

3) Hence, the answer is:

[tex]\sqrt[]{60}[/tex]

Ver imagen RaoulN734931