Questions: Find the length of the ramp to the back of a truck.

Find the length of the ramp to the back of a truck.
Transcript text: Find the length of the ramp to the back of a truck.
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Solution

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Solution Steps

Step 1: Apply the Pythagorean theorem

The ramp, the vertical distance from the ground to the back of the truck, and the horizontal distance from the start of the ramp to the truck form a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the ramp is the hypotenuse, and we are given the lengths of the other two sides, 6 ft and 8 ft.

Let 'r' represent the length of the ramp. Using the Pythagorean theorem, we have: $r^2 = 6^2 + 8^2$

Step 2: Solve for r

$r^2 = 36 + 64$ $r^2 = 100$ $r = \sqrt{100}$ $r = 10$

Final Answer:

The ramp is 10 ft long.

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