1951 AMC 12 Problem 30
Attempt Problem 30 of the 1951 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 1951 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
If two poles and high are apart, then the height of the intersection of the lines joining the top of each pole to the foot of the opposite pole is:
None of these
Answer: C
Small Hint:
Place the pole bases at and
Big Hint:
The cross-lines can be written and
Solution:
Put the bases at and with tops and The cross-lines are and Equating them gives and hence
Thus, the correct answer is C.
Problem 30 in Other Years
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