Final answer:
Using the Pythagorean theorem where the ramp is the hypotenuse and the height of the truck is one leg, the distance from the truck to the bottom of the ramp is calculated to be approximately 9.17 feet.
Step-by-step explanation:
To determine how far the other end of the ramp is from the truck, we can apply the Pythagorean theorem. This is a mathematics problem that involves a right triangle, where the length of the ramp is the hypotenuse and the height of the truck is one leg of the triangle. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides (which are called the legs).
Given a 10-foot ramp (hypotenuse) and a truck that is 4 feet above the ground (one leg), we can find the length of the base (other leg), which is the distance from the truck to the bottom end of the ramp (x). The equation based on the Pythagorean theorem is:
c2 = a2 + b2
Plugging our values in:
102 = 42 + x2
100 = 16 + x2
x2 = 100 - 16
x2 = 84
x = √84 ≈ 9.17 feet
Therefore, the distance from the truck to the other end of the ramp is approximately 9.17 feet.