Answer:
![\fbox {P = 6.76 cm}](https://img.qammunity.org/2023/formulas/mathematics/high-school/497y568n2ur8oi4ncer665ild5gncjffbs.png)
Explanation:
Finding the missing angle :
- 22° + ∠R + 72° = 180°
- ∠R = 180° - 94°
- ∠R = 86°
Applying the Law of Sines :
![\boxed {(sin P)/(P) = (sin R)/(PQ)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/duj0pukiqd4afz9i361gik9udj0art9af8.png)
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