Answer:
k ≈ 3.7 cm , x ≈ 72.4 mm
Step-by-step explanation:
(a)
Using the tangent ratio on the right triangle
tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{k}{1.9}[/tex] ( multiply both sides by 1.9 )
1.9 × tan63° = k , then
k ≈ 3.7 cm ( to the nearest tenth )
(b)
Using the cosine ratio in the right triangle
cos28° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{82}[/tex] ( multiply both sides by 82 )
82 × cos28° = x , then
x ≈ 72.4 mm ( to the nearest tenth )
