Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long.

What is the horizontal distance from the end of the ramp to the back of the truck?

1 answer

We will use the Pythagorean theorem to solve this problem.

Let the horizontal distance from the end of the ramp to the back of the truck be x centimeters.

Then, according to the Pythagorean theorem:

x^2 + 83^2 = 158^2

Simplifying:

x^2 + 6889 = 24964

Subtracting 6889 from both sides:

x^2 = 18075

Taking the square root of both sides:

x ≈ 134.4

Therefore, the horizontal distance from the end of the ramp to the back of the truck is approximately 134.4 centimeters.