Question 95

Δ ABC is right angled at B. If m∠A = 30°, what is the length of AB (in cm), if AC = 10 cm?

Solution

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.

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