Time for MATH MINUTE! (provide your favorite theme music
here).
Get out
your paper & pencil, because I have a new puzzle for you!!
PUZZLE #91 A Few Quickies
1. A train T
leaves the station at S and chugs slowly eastward on a circular track of radius
1000 ft. with center at point C. At the same time a person leaves the station
walking south towards C and keeping pace with the train on their left. On the
radius CW perpendicular to SC is a sensor at point B halfway from point C to
the circle. The sensor points due north. If the person is at point A just as
the sensor records the train T passing, how far apart are the person and the
sensor?
2. As a
student is driving her car home from college she notices that the odometer is
at 25,952 miles, a palindrome (reads the same forward and backward). A while later as she arrives home she
sees that the odometer is at another palindrome. If there was no palindrome
readings between the two readings what is the odometer reading when she gets
home?
3. If the
triangle ABC below is isosceles (2 sides of equal length) with angles as
indicated, name the size of all of the angles marked with a question mark ? and
the angles marked with alpha.
4. In the
right triangle below, the base is 1 unit and the height is 2 units. The line BD
is perpendicular to AC and the line DE is perpendicular to BC. Give the lengths
of BE and DE (and also AD and DB for extra).
Have
fun!
Send
your comments, ideas and solutions before Monday to the email below, and
in the subject line be sure to put
MM in the subject line
Visit
us here online at:
http://www2.potsdam.edu/parksjm/MM1.1.htm
to see the results every Friday.
See you next time on MATH MINUTE! (theme music fades out here).