An incline ramp on a moving van measures 196 inches. The height of the moving van to the ground is 32 inches. What is the longest distance that the ramp can be extended (the distance from back of the truck to the edge of the ramp when the ramp is at rest on the ground)?

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(1 point)
The distance from the back of the truck to the edge of the ramp is about
inches.
194 is not the correct answer

1 answer

To find the longest distance that the ramp can be extended, we need to find the length of the hypotenuse of a right triangle formed by the ramp and the ground. The height of the moving van can be considered as the perpendicular side of the triangle, and the length of the ramp can be considered as the base of the triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

hypotenuse^2 = height^2 + base^2
hypotenuse^2 = 32^2 + 196^2
hypotenuse^2 = 1024 + 38416
hypotenuse^2 = 39440

Taking the square root of both sides, we find:

hypotenuse = √39440
hypotenuse ≈ 198.58

Rounded to the nearest whole number, the distance from the back of the truck to the edge of the ramp is 199 inches.