Archives
Contribute
| For The Mathematically Inclined |
Anil Saigal
04/01/2008
FOR STUDENTS PROBLEM # 1 FOR GROWNUPS PROBLEM # 2 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- FOR GROWNUPS Let Solution:
A mixture containing 6% salt is to be mixed with 2 ounces of a mixture which is 15% salt, in order to obtain a solution which is 12% salt. How much of the first solution must be used?
A plane is approaching your home, and you assume that it is traveling at approximately 550 miles per hour. If the angle of elevation of the plane is 16 degrees at one time and one minute later the angle is 57 degrees, approximate the altitude.
Use Problem Solutions M-040308 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com. 
. Conclude that 
.
since cos x = -sin(x-Pi/2),
we make the substitution:
arcsin x + arccos[-sin(x-Pi/2)] = Pi/2
arcsin x - arcsin (x - Pi/2) = Pi/2
x - x + Pi/2 = Pi/2 for all values of x.
Congratulations to Hari Pillai, who was the winner of the last set of puzzles.
|
You may also access this article through our web-site http://www.lokvani.com/
