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Help me with this pls

Help Me With This Pls class=

Sagot :

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 )