Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{y}[/tex]
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = [tex]\frac{11}{cos20}[/tex] ≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{x}[/tex] = [tex]\frac{11.71}{x}[/tex]
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = [tex]\frac{11.71}{sin35}[/tex] ≈ 20.42
