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Answer :
Final answer:
The vertical distance of a wheelchair ramp with a length of 68 inches and a horizontal distance of 60 inches is 32 inches, calculated using the Pythagorean theorem.
Explanation:
To find the vertical distance of a wheelchair ramp given its length and horizontal distance, we can use the Pythagorean theorem, which states a² + b² = c², where 'a' is the vertical distance, 'b' is the horizontal distance, and 'c' is the length of the ramp. Given that the length of the ramp ('c') is 68 inches and the horizontal distance ('b') is 60 inches, we can substitute these values into the equation to solve for 'a' (the vertical distance).
The equation becomes:
a² + 60² = 68²
This simplifies to:
a² = 68² - 60²
a² = 4624 - 3600
a² = 1024
Therefore, a = √1024 = 32 inches. The vertical distance of the ramp is 32 inches.
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