Joshua,
I
was greatly intrigued by the title of your letter.
I used to like giving problems like that in
the high school physics class that I taught.
The company that I worked for used to let me
go to a local school to teach a class during the lunch hour
each week day (physics one year, then chemistry the next,
the physics again, etc.)
One time I asked them to calculate the
length necessary for the tip of the hour hand to be
traveling at the tangental velocity of 100 mph.
I must have missed something, perhaps in an
earlier letter, as to why you chose 153° to figure out
what time that would be?
Or if that is the answer, and I have it
backwards, then why did you choose the time 21:11 to then
figure out the angle from?
It's still a pretty cool thing, either way
you solved it.
__