Answer:
PK=8.49m
Explanation:
We have sine formula
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
By sine formula we have
[tex]\frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}[/tex]
We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°
Substituting
[tex]\frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m[/tex]
