Difference between revisions of "1999 AMC 8 Problems/Problem 2"
(Created page with "== Problem== What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock? <asy> draw(circle((0,0),2)); dot((0,0)); for(int i = 0; i < 12; ++i) ...") |
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Revision as of 15:06, 12 June 2011
Problem
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
![[asy] draw(circle((0,0),2)); dot((0,0)); for(int i = 0; i < 12; ++i) { dot(2*dir(30*i)); } label("$3$",2*dir(0),W); label("$2$",2*dir(30),WSW); label("$1$",2*dir(60),SSW); label("$12$",2*dir(90),S); label("$11$",2*dir(120),SSE); label("$10$",2*dir(150),ESE); label("$9$",2*dir(180),E); label("$8$",2*dir(210),ENE); label("$7$",2*dir(240),NNE); label("$6$",2*dir(270),N); label("$5$",2*dir(300),NNW); label("$4$",2*dir(330),WNW); [/asy]](http://latex.artofproblemsolving.com/4/5/0/4500534f275d08449e027ed4322baa4c284ea69e.png)
Solution
At 
, the hour hand will be on the 
while the minute hand on the 
.
This makes them 
th of a circle apart, and 
.
