Question

In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

Answer 1

Length of AB is 18

Step-by-step explanation:

• Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

   = 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

   = 18