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# Law of Sines

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What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
2.4 units
Which is the approximate measure of angle Y? Use the law of sines to find the answer.
b. 59°
Use the law of sines to find the value of w. What is the best approximation of the value of w?
b. 4.0 cm
What is the approximate measure of angle K? Use the law of sines to find the answer.
b. 34°
Consider the diagram and the proof below. What is the missing statement in Step 6?
c. csin(B) = bsin(C)
What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer.
b. 3.2 units
In ABC, c= 5.4, a= 3.3, and m<A= 20°. What are the possible approximate lengths of b? Use the law of sines to find the answer.
c. 2.3 units and 7.8 units
Which expression represents the approximate length of BC?
a. (3) sin(66°)/ sin(38°)
Which is the best approximation of the value of x? Use the law of sines to find the answer.
b. 2.1 units
Use the law of sines to find the value of y. Round to the nearest tenth.
2.5
Use the law of sines to find the value of w.
What is the best approximation of the value w?
b. 4.0 cm
What is the approximate value of k? Use the law of sines to find the answer.
c. 5.1 units
A support beam needs to be placed at a 28° angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. The vertical beam meets the floor at a 90° angle. Approximately how far from the vertical beam should the lower end of the support beam be placed along the horizontal floor?
a. 3.0 meters
Which equation is true for triangle QRS?
a. sin(100°)/3.5 = sin(S)/2.4