Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
[tex]90+30+B = 180[/tex]
Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = [tex]\frac{a}{8}[/tex] = 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = [tex]\frac{b}{8}[/tex] = 0.866
b = (8)(0.866)= 6.928
