QS = 20.7
Step-by-step explanation:
To get length of side QS, we will consider triangle SQR (right angle triangle)
opposite (the side opposite the angle 28°) = QS
adjacent = base = 39
We apply tangent ratio:
tan28 = opposite/adjacent
tan28 = QS/39
QS = 39 × tan28
QS = 39 × 0.5317
QS = 20.7363
To the nearest tenth, QS = 20.7