Question

Find the value of each variable. x = and y =

Answer 1

Answer:

x = 16

y = 27.7

Step-by-step explanation:

solving for x: use sine

sine = $\frac{opposite}{hypotenuse}$

⇒ sine 30 = $\frac{x}{32}$

sine of 30 is 0.50

⇒ 0.50 = $\frac{x}{32}$

multiply 32 on both sides:

⇒ 0.50 x 32 = $\frac{x}{32}$ x 32

solve:

⇒ 16 = x

solving for y: use cosine

cosine = $\frac{adajcent}{hypotenuse}$

⇒ cosine 30 = $\frac{y}{32}$

cosine of 30 is 0.866

⇒ 0.866 = $\frac{y}{32}$

multiply 32 on both sides

⇒ 0.866 x 32 = $\frac{y}{32}$ x 32

solve:

⇒ 27.7 = y

Answer 2

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3