Answer:
B
Step-by-step explanation:
Using the cosine and tangent ratios and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , tan30° = [tex]\frac{1}{\sqrt{3} }[/tex]
Consider the right triangle on the right
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 30 ( divide both sides by 2 )
x = 15
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Consider the right triangle on the left
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{15}{y}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
y = 15[tex]\sqrt{3}[/tex]
