Difference between revisions of "1995 AHSME Problems/Problem 18"
(New page: ==Problem== Two rays with common endpoint <math>O</math> forms a <math>30^\circ</math> angle. Point <math>A</math> lies on one ray, point <math>B</math> on the other ray, and <math>AB = 1<...) |
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+ | {{AHSME box|year=1995|num-b=17|num-a=19}} | ||
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+ | [[Category:Introductory Geometry Problems]] |
Revision as of 11:34, 7 July 2008
Problem
Two rays with common endpoint forms a angle. Point lies on one ray, point on the other ray, and . The maximum possible length of is
Solution
Triangle has the property that and . Form the Law of Sines, . Thus . The maximum of is 1, so the maximum of is .
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |