Law of Sines

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

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

b. 2.1 units

What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer.

b. 3.2 units

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. What is the best approximation of the value w?

b. 4.0 cm

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

Which is the approximate measure of angle Y? Use the law of sines to find the answer.

b. 59°

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

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. What is the missing statement in Step 6?

c. csin(B) = bsin(C)

Which expression represents the approximate length of BC?

a. (3) sin(66°)/ sin(38°)

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

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

2.5