For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:
[tex]Sin (M) = \frac {3} {5}\\M = ArcSine (\frac {3} {5})[/tex]
[tex]M = 36.87[/tex] degrees
Answer:
36.87 degrees
