Answer:
[tex]\fbox {P = 6.76 cm}[/tex]
Step-by-step explanation:
Finding the missing angle :
- 22° + ∠R + 72° = 180°
- ∠R = 180° - 94°
- ∠R = 86°
Applying the Law of Sines :
[tex]\boxed {\frac{sin P}{P} = \frac{sin R}{PQ}}[/tex]
Substituting the known values :
- sin 22° / P = sin 86° / 18
- P = sin 22° × 18 / sin 86°
- P = 0.374606593 × 18 / 0.99756405
- P = 6.76 cm
