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?
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.
To find the horizontal distance from the end of the ramp to the back of the truck, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we can consider the horizontal distance as one side, the vertical distance (truck height) as another side, and the ramp length as the hypotenuse. Let's call the horizontal distance "x".
Using the Pythagorean theorem, we have:
x^2 + 83^2 = 158^2
Now, let's solve for x:
x^2 + 6889 = 24964
x^2 = 24964 - 6889
x^2 = 18075
Taking the square root of both sides, we get:
x = √18075
Calculating this, we find:
x ≈ 134.55 cm
Therefore, the horizontal distance from the end of the ramp to the back of the truck is approximately 134.55 centimeters.