SOLUTION: What is the measure of the obtuse angle formed by the hands of a clock at 10:25?

Question 1179231: What is the measure of the obtuse angle formed by the hands of a clock at 10:25?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

One way to solve this kind of problem -- the way I find "works" for me -- is to determine the "clockwise" angle each hand of the clock makes with 12:00.

The hour hand moves at 30 degrees per hour (360 degrees in 12 hours), or 0.5 degrees per minute. For your problem, determine how many degrees past 12:00 the hour hand has moved at 10:25 (10 hours at 30 degrees per hour, plus 25 minutes at 0.5 degrees per hour).

The minute hand moves 6 degrees per minute (360 degrees in 60 minutes). For your problem, determine how many degrees past 12:00 the minute hand has moved at 10:25.

Find the difference between those two angles. The problem asks for the obtuse angle (between 90 and 180 degrees); if that difference is greater than 180 degrees, then the number you want is 360 degrees minus that difference.

You can have the pleasure of doing the calculations and finding the answer by yourself.

Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

In this site, there are lessons related to clock problems.

These lessons are
    - Clock problems
    - Advanced clock problems

Look and have fun (!)

RELATED QUESTIONS
what is the measure of the acute angle formed by the hands of a clock at... (answered by Alan3354)
What is the exact degree measure of the angle formed by the hands of a clock at... (answered by MRperkins,richwmiller,solver91311,Alan3354)
what is the radian measure of the smaller angle formed by the hands of a clock at 7'... (answered by Alan3354)
what is the radian measure of the smaller angle formed by the hands of a clock at 4... (answered by Naruto40854085)
What is the angle between the hands of a clock at 10:25 am ? (answered by Fombitz)
When the clock reads 10:30, what kind of angle is formed by the hands of the... (answered by FrankM)
What is the measure of the acute angle formed by the hands of a clock when the clock... (answered by ankor@dixie-net.com)
REVIEW 31: At five o'clock the measure of the angle formed by the hands of the clock (answered by checkley75)
What is the number of degrees in the smaller angle formed by the hands of a clock at... (answered by Theo,Edwin McCravy)