Respuesta :

Answer:

see explanation

Step-by-step explanation:

(5)

Using the tangent ratio in the right triangle

tan ? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{17}{30}[/tex], thus

? = [tex]tan^{-1}[/tex]([tex]\frac{17}{30}[/tex] ) ≈ 30° ( to the nearest degree )

(6)

Use any of the 3 trig ratios to solve.

Using the cosine ratio

cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{80}{82}[/tex], thus

? = [tex]cos^{-1}[/tex]([tex]\frac{80}{82}[/tex] ) ≈ 13° ( to the nearest degree )