Answer:
x ≈ 6.6, y ≈ 13.3
Step-by-step explanation:
Using the tangent ratio in the right triangle to find x
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{11.5}[/tex] ( multiply both sides by 11.5 )
11.5 × tan30° = x , then
x ≈ 6.6 ( to the nearest tenth )
Using the cosine ratio in the right triangle to find y
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{11.5}{y}[/tex] ( multiply both sides by y )
y × cos30° = 11.5 ( divide both sides by cos30° )
y = [tex]\frac{11.5}{cos30}[/tex] ≈ 13.3
