From the given figure we can see a right triangle with legs p and q
Its hypotenuse is 34
One acute angle measures 64 degrees
To find p we will the sine ratio
To find q we will use the cosine ratio
[tex]\sin 64=\frac{p}{34}[/tex]
By using the cross multiplication
[tex]\begin{gathered} p=34\times\sin 64 \\ p=30.55899 \end{gathered}[/tex]
Round it to the nearest tenth
p = 30.6
[tex]\cos 64=\frac{q}{34}[/tex]
By using the cross multiplication
[tex]\begin{gathered} q=34\times\cos 64 \\ q=14.90461 \end{gathered}[/tex]
Round it the nearest tenth
q = 14.9
