Answer:
a = 10.9
b = 10.4
Step-by-step explanation:
part a: use sine
⇒ sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 23 = [tex]\frac{y}{28}[/tex]
(sine 23 = 0.39)
⇒ 0.39 = [tex]\frac{y}{28}[/tex]
multiply each side by 28
⇒ 0.39 x 28 = [tex]\frac{y}{28}[/tex] x 28
⇒ 10.9
part b: use cosine
⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos 29 = [tex]\frac{y}{12}[/tex]
(cos 29 = 0.87)
⇒ 0.87 = [tex]\frac{y}{12}[/tex]
multiply 12 on both sides
⇒ 0.87 x 12 = [tex]\frac{y}{12}[/tex] x 12
⇒ 10.4
