Answer:
26 degrees.
Step-by-step explanation:
sin theta = cos (theta + 38)
sin theta = cos theta cos 38 - sin theta sin 38
sin theta + sin theta sin 38 = cos theta cos 38
Using the values of sin 38 and cos 38:
1.61566 sin theta = 0.78801 cos theta
Divide both sides by cos theta (remember that tan theta = sin theta/cos theta)
1.61566 tan theta =0.78801
tan theta = 0.48773
Theta = 26 degrees.
