The average temperature for the city of Madison, in degrees Fahrenheit, is described by the function [math]t(m) = 25 \sin [\frac{\pi}{6}(m - 3)]+50[/math], where [math]m[/math] is the number of months that have elapsed since January 1. In what month will the average temperature reach 60°F? What day, approximately? Assume the year is not a leap year.
