Answer:
QR is approximately 20.6.
Explanation:
Look at the right triangle SRQ.
In that triangle we know that:
SQ = 55
m∠QSR = 22°
Choosing angle QSR as a reference angle, QR is opposite side and SQ is hypotenuse.
Which of the trigonometrical functions use opposite and hypotenuse?
Recall SOH CAH TOA - SineOppositeHypotenuse CosineAdjacentHypotnuse TangentOppositeAdjacent
Sine uses both opposite and hypotenuse.
Aply the formula.
Multiply with 55 to get rid of the fraction and isolate QR.