Δ ABC is right angled at B. If m∠A = 30°, what is the length of AB (in cm), if AC = 10 cm?
from the diagram,
sin C = $$\frac{AB}{AC}$$
sin 60 = $$\frac{AB}{10}$$
$$\frac{\sqrt{3}}{2} = \frac{AB}{10}$$
$$AB = 5\sqrt{3}$$
So the answer is option B.
Create a FREE account and get: