## sine and cosine

Hello, could anyone help me calculate the value of x?

246.25 sin x - 676.58 cos x = -27768.42

Thank you..

James

 Recognitions: Gold Member Science Advisor Staff Emeritus You know the smallest value sin x can have, and the largest value cos x can have. So what is the smallest value 246.25 sin x - 676.58 cos x can have? (Or are you expected to work with complex numbers?)
 Ah, yea that's right. it's impossible to solve it. Well, this equation is derived from somewhere else, and I might have done mistake in doing it. This is the question: Use Cartesian vector method to solve the problem. If you use any other method, you will receive zero. A pilot wishes to fly form city A to city B, a distance of 720 km on a bearing of 70 degree. The speed of the plane is 700 km/h. An 60 km/h wind is blowing on a bearing of 110 degree. What heading should the pilot take to reach his or her destination? How long will the trip take? Could you help me with this please? I will post my work in 5 minutes.

## sine and cosine

OK, here is my work:

First page
Continued...

 Recognitions: Homework Help As I see it, the last line is wrong, you divided the LSH by 700 but forgot to divide the RHS by 700. :)