Answer:
see explanation
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]
Multiply both sides by y
y × sin30° = 6 ( divide both sides by sin30° )
y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12
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cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]
Multiply both sides by y ( y = 12 )
12 × cos30° = x
x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]
