Question

Find m Answers choices
53
44
65
35

Answer 1

Sine m/3 = sine 90 /5
Sine m times 5 = sine 90 times 3
5(sine m) = 1 times 3
Divide by 5
Sine m= 3/5
Second sine m =.6
35

Answer 2

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:

$Sin (M) = \frac {3} {5}\\M = ArcSine (\frac {3} {5})$

$M = 36.87$ degrees

Answer:

36.87 degrees