Answer:
a) [tex]\cos(70\degree)[/tex]
b) 12.72 units
Step-by-step explanation:
Recall that the sine and cosine are completed functions.
This means that: [tex]\sin(x)=\cos(90-x)[/tex]
[tex]\sin(20\degree)=\cos(90-20)[/tex]
[tex]\sin(20\degree)=\cos(70\degree)[/tex]
Recall that: sine ratio is opposite/hypotenuse
[tex]\sin 58=\frac{|PQ|}{15}[/tex]
This implies that:
[tex]|PQ|=15\sin 58[/tex]
[tex]|PQ|=15(0.848)[/tex]
[tex]|PQ|=12.72[/tex]
