SOLUTION: What is the measure of the acute angle formed by the hands of a clock when the clock shows that the time is 12:15?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What is the measure of the acute angle formed by the hands of a clock when the clock shows that the time is 12:15?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 135734: What is the measure of the acute angle formed by the hands of a clock when the clock shows that the time is 12:15?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the measure of the acute angle formed by the hands of a clock when the clock shows that the time is 12:15?
:
12 o'clock is 0 degrees
:
the hour hand travels 1/12 * 360 = 30 degrees per hr
:
In 1/4 hr it will have traveled; 1/4 * 30 = 7.5 degrees
:
The minute hand travels 1/60 * 360 = 6 degrees per minute
:
15 minutes it will have traveled: 15 * 6 = 90 degrees (as expected)
:
The angle between the hands: 90 - 7.5 = 82.5 degrees