You can put this solution on YOUR website! You can't perform this kind of calculation with pencil and paper; you need a calculator or some other mathematical tool.
If you have a good graphing calculator (which you should have, if you are studying trigonometry), then you can find the value directly. With my TI83 calculator, I get the answer by entering "cos(tan^-1(1.1273))" ("cosine of inverse tangent of 1.1273").
If you don't have a calculator that will do that kind of calculation, or if you want to practice other trig skills, you can do this:
