Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for β
β = 180° - (90 + 50)° = 180° - 140° = 40°
-------------------------------------------------------------------
tan50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{b}[/tex]
Multiply both sides by b
b × tan50° = 10 ( divide both sides by tan50° )
b = [tex]\frac{10}{tan50}[/tex] ≈ 8.39 ( to 2 dec. places )
-------------------------------------------------------------------
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{c}[/tex]
Multiply both sides by c
c × sin50° = 10 ( divide both sides by sin50° )
c = [tex]\frac{10}{sin50}[/tex] ≈ 13.05 ( to 2 dec. places )
