Cheater. LOL! But, she did get it. The answer to Ashley’s math problem was 22 – NOT 24.
Want to know HOW one gets the answer of 22? Well, here it is:
“The right-angle phenomenon actually occurs approximately every 32-and-a-half minutes, NOT twice per hour. For example, the hands form a right angle at 3:00:00; they next form a right angle not AT, but a little after, 3:30 (at approximately 3:32:40); then again at about 4:05:15.
Thus, in a 12 hour period (= 720 minutes), the right angle event would be predicted to occur:
720 divided by 32.6 = 22.08 times.
Obviously, the event cannot occur a partial time, so the closest whole number is 22, and correcting the formula gives:
720 / 22 means the event actually occurs every 32.72727 minutes, which = every 32 minutes: 43.6363 seconds”
“22 is correct. During a 12-hour period (say, 1am to 1pm) the minute hand makes 12 revolutions and the hour hand makes one revolution, so they cross 11 times. Two right angles are formed between each of the times they line up.”
“The hands form a 90° angle at these APPROXIMATE times:
12:15, 12:45, 1:20, 1:55, 2:25, 3:00, 3:30, 4:05, 4:35, 5:10, 5:45,
6:15, 6:50, 7:20, 7:55, 8:25, 9:00, 9:30, 10:05, 10:35, 11:10, 11:45
That’s twenty-two times in 12 hours.”
Is it just me, or does that seem REALLY complicated for a 6th grade math answer?
I am also certain that Danielle is right about another thing…. Ashley is never again in her life going to need to know how many times the hands of a clock form right angles. If she does, I will eat my hat. Of course, if she DOES have to know, she’d better NEVER forget the trouble we went through to get this answer!
There’s your math lesson for today. I’m sure that none of you will ever forget the answer, either. 🙂
Nothing else exciting around here. I’m still sick, and I have to take ALL of the kids to FunWorld tomorrow. I am SO not looking forward to it. Just praying I make it through the day!