Answer:
x = 16
y = 27.7
Step-by-step explanation:
solving for x: use sine
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 30 = [tex]\frac{x}{32}[/tex]
sine of 30 is 0.50
⇒ 0.50 = [tex]\frac{x}{32}[/tex]
multiply 32 on both sides:
⇒ 0.50 x 32 = [tex]\frac{x}{32}[/tex] x 32
solve:
⇒ 16 = x
solving for y: use cosine
cosine = [tex]\frac{adajcent}{hypotenuse}[/tex]
⇒ cosine 30 = [tex]\frac{y}{32}[/tex]
cosine of 30 is 0.866
⇒ 0.866 = [tex]\frac{y}{32}[/tex]
multiply 32 on both sides
⇒ 0.866 x 32 = [tex]\frac{y}{32}[/tex] x 32
solve:
⇒ 27.7 = y
