Question 1205037
.
What is the number of degrees in the smaller angle formed by the hands of a clock at 8:55 ?
~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The angular rate of rotation of the hour hand is 360 degrees in 12 hours, 

    or  {{{360/12}}} = 30 degrees per hour = {{{30/60}}} = 0.5 degree per minute.


The angular rate of rotation of the minute hand is 360 degrees in 1 hour, or {{{360/60}}} = 6 degrees per minute.


At 8:55, the greater angle of the minute hand with the position 12:00 o'clock is 6*55 = 330 degrees.

         the greater angle of the hour hand with the position 12:00 o'clock is 8*30 + 55*0.5 = 267.5 degrees.


Your answer is the difference  330 - 267.5 = 62.5 degrees.
</pre>

Solved, with explanations.


------------------------------


To see many other similar &nbsp;(and different) &nbsp;problems on angles between clock hands, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/Clock-problems.lesson>Clock problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Advanced-clock-problems.lesson>Advanced clock problems</A>

in this site.


Learn the subject and the method from there.


------------------


The meaning of this task is not to take / (to find) a formula ready to use and plug in the numbers.


The meaning is to deduce the necessary formulas and to learn and to understand on HOW TO do it.