Law of Sines

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Solve for the indicated unknown value in each triangle



Draw each triangle and then solve for the indicated side or angle.

5) Triangle CAT has values of C = 56° , A = 32° and a = 20.5m. Solve for side length c.

6) Triangle RYU has values of R = 41° , Y = 41° and r = 17.8m. Solve for side length u.

7) Triangle RYU has values of R = 50° , Y = 51° and r = 14.7m. Solve for side length u.

8) Triangle ABC has values of A = 52° , B = 56° and a = 9.6m. Solve for side length b.

9) Andrea is flying a kite with a kite string length of 40m. They are standing an unknown distance away from their friend Lori. Andrea is flying the kite at an angle of elevation of 40°. Lori is looking up at the kite at an angle of 60°. How far apart from each other are the two friends?

10) Three towers have been constructed and labelled Alpha, Gamma, and Delta. The Alpha tower is 140km from the Gamma tower. The Delta tower is 210km away from the Gamma Tower. Looking out from Alpha tower, the angle between the other two towers is 70°. Solve the angle between the two towers that can be seen when looking out from Delta tower.