Law of Sines

Law of sines: What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth. RS =

2.4 units

Law of sines: Use the law of sines to find the value of y. Round to the nearest tenth. y =

2.5

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. Law of sines: 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

Law of sines: In △FGH, h = 10, m∠F = 65°, and m∠G = 35°. What is the length of g? Use the law of sines to find the answer.

a. 5.8 units

Law of sines: Which is the best approximation of the value of x? Use the law of sines to find the answer.

b. 2.1 units

Law of sines: What is the approximate measure of angle K? Use the law of sines to find the answer.

b. 34

Use the law of sines to find the value of w. Law of sines: What is the best approximation of the value of w?

b. 4.0 cm

Law of sines: What is the approximate value of k? Use the law of sines to find the answer.

c. 5.1 units

Consider the diagram and the proof below. Given: In △ABC, AD ⊥ BC Prove: What is the missing statement in Step 6?

c. csin(B) = bsin(C)

Law of sines: What is the approximate perimeter of the triangle? Use the law of sines to find the answer.

d. 9.2 units