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SINE LAW ASSIGNMENT Outcomes: D3 apply sine and cosine ratios and functions to situations involving non-acute angles D5 apply the Law of Sines, the Law of Cosines, and the formula ‘area of a triangle ABC = 1. bc sin A’ to solve problems Solve for the unknown in each triangle. Watch out for the ambiguous case. A. B. x 17m x 42° C. 35° 88° 9.4cm 22m D. E. F. 21cm 48° 13m x 44mm 51° 6cm x 52° 61° 118° 12m x 67° 2. x 45m Solve for all missing sides and angles in each triangle. Watch out for the ambiguous case. J A A. B 51° B. 71° M C. 42° 28m 50m 9.8cm K 84° C 3. N 31m 62° O L Suppose that you are the pilot of a commercial airliner. You find it necessary to detour around a group of thundershowers. You turn at an angle of 21 degrees to your original path, fly for a while, turn, and intercept your original path at an angle of 35 degrees, 70 km from where you left it. a) How much further did you travel as a result of the detour? b) What is the area of the triangle?