Solving Trig Equation: 600cosA = xcos35

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To solve the equations 600cosA = xcos35 and 600sinA - 100 = xsin35, one effective method is to divide one equation by the other to eliminate x. This allows for the isolation of variable A. After substituting x from one equation into the other, the resulting equation should only involve A, making it easier to solve. The expected solutions for A are 42.9 degrees or 90 - 42.9 degrees. This approach is particularly useful in physics-related problems involving trigonometric equations.
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How do you solve:

600cosA = xcos35
600sinA - 100 = xsin35

The answer is supposed to be 42.9 or 90 - 42.9 for A in degrees.

That equation might not be right though because I came up with it for Physics.
 
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HINT: Divide one equation by the other to eliminate x.
 
Solve for x in one equation then plug that into x for the other equation. Once you eliminate the x you should be left with only the variable A and you should be able to solve it.
 

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