Question 95

# Δ ABC is right angled at B. If m∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm?

Solution

Given : AC = 8 cm and $$\angle$$ A = $$30^\circ$$

To find : AB = ?

Solution : In $$\triangle$$ ABC,

=> $$cos(30^\circ)=\frac{AB}{AC}$$

=> $$\frac{\sqrt3}{2}=\frac{AB}{8}$$

=> $$AB=\frac{8\sqrt3}{2}=4\sqrt3$$ cm

=> Ans - (B)

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