To find the longest distance that the ramp can be extended, we can use the Pythagorean theorem. The distance from the back of the truck to the edge of the ramp forms a right triangle with the height of the truck and the length of the ramp.
Using the Pythagorean theorem, we have:
(distance from back of truck)^2 + (height of truck)^2 = (length of ramp)^2
Let's plug in the given values:
(distance from back of truck)^2 + 32^2 = 196^2
Simplifying,
(distance from back of truck)^2 + 1024 = 38416
Subtracting 1024 from both sides,
(distance from back of truck)^2 = 37440
Taking the square root of both sides,
distance from back of truck = √37440
Rounded to the nearest whole number, the longest distance that the ramp can be extended is 194 inches.
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.
1 answer