Question

Find the value of the variable.

Answer 1

Answer:

$x = 17 \sqrt{3} \: , \: y = 17$

Step-by-step explanation:

$\boxed{sinθ = \frac{opp}{hyp} }$

$sin30° = \frac{y}{34}$

$\frac{1}{2} = \frac{y}{34}$

Multiply both sides by 34:

$y = \frac{1}{2} (34)$

$y = 17$

$\boxed{ \cos(θ) = \frac{adj}{hyp} }$

$\cos(30°) = \frac{x}{34}$

$\frac{ \sqrt{3} }{2} = \frac{x}{34}$

Multiply both sides by 34:

$x = 34( \frac{ \sqrt{3} }{2} )$

$x = 17 \sqrt{3}$