Answer:
27.37 and 9.18
Step-by-step explanation:
(4)
Using the cosine ratio in the right triangle
cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × cos64° = 12 ( divide both sides by cos64° )
x = [tex]\frac{12}{cos64}[/tex] ≈ 27.37 ( to the nearest hundredth )
(5)
Using the sine ratio in the right triangle
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] ( multiply both sides by 16 )
16 × sin35° = x , then
x ≈ 9.18 ( to the nearest hundredth )
