1969 AHSME Problems/Problem 26
Problem
A parabolic arch has a height of inches and a span of inches. The height, in inches, of the arch at the point inches from the center is:
Solution
Because the arch has a height of inches, an equation that models the arch is , where is the horizontal distance from the center and is the height. The arch has a span of inches, so the arch meets the ground inches from the center. That means , so .
Thus, the equation that models height based on distance from the center , so the height of the arch inches from the center is inches.
See also
1969 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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