Question

Find x and y. Please write your answer in simplified radical form.

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{6}{y}$

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = $\frac{6}{sin30}$ = $\frac{6}{\frac{1}{2} }$ = 12

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cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{y}$

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × $\frac{\sqrt{3} }{2}$ = 6$\sqrt{3}$