2005 AMC 8 Problem 7
Attempt Problem 7 of the 2005 AMC 8 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 2005 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
Bill walks mile south, then mile east, and finally mile south. How many miles is he, in a direct line, from his starting point?
Answer: B
Small hint:
Combine the two southward parts into one vertical displacement.
Big hint:
Use the Pythagorean theorem with legs and .
Solution:
Note that what we want is the length of the diagonal. We can use the Pythagorean theorem to find this.
Thus, B is the correct answer.
Problem 7 in other years
- 1985 AMC 8
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