1969 AMC 12 Problem 26
Attempt Problem 26 of the 1969 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1969 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
A parabolic arch has a height of inches and a span of inches. The height, in inches, of the arch at a point inches from the center is:
Answer: B
Small hint:
Place the center at the origin and write the parabola as
Big hint:
Use the endpoint to find , then substitute
Solution:
Place at the origin with the span on the -axis. The arch has equation Since lies on it, so At
Therefore, the correct answer is B.
Problem 26 in other years
- 1950 AMC 12
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