Law of Sines (Sec 8-3)

Question 1

Which expression gives the exact value of t?

Revolt · Accepted Answer

StartFraction 21.3 sine (34 degrees) Over sine (118 degrees) EndFraction

Question 2

Question 2

Revolt · Accepted Answer

12.49

Question 3

Question 4

Revolt · Accepted Answer

55

Question 4

Which equation is equivalent to the equationb sin(A) = a sin(B)?

Revolt · Accepted Answer

StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction

Question 5

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°. How far away is the submarine from the two ships? Round to the nearest hundredth of a foot. The distance from ship A to the submarine is about feet. The distance from ship B to the submarine is about feet.

Revolt · Accepted Answer

1,084.18; Selection 1: 1,084.18; Selection 2: 1,270.69

Question 6

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

Revolt · Accepted Answer

There is only one distinct triangle possible, with m∠N ≈ 33°.

Question 7

Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth. m∠R = ° PR ≈ PQ ≈

Revolt · Accepted Answer

Part 1: 50; Part 2: 5.74; Part 3: 8.53

Question 8

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10? triangle(s) How many distinct triangles can be formed for which m∠J = 129°, k = 8, and j = 3? triangle(s)

Revolt · Accepted Answer

Part 1: 1; Part 2: 0

Question 9

Which measurements are correct? Round side lengths to the nearest hundredth. Check all that apply.

Revolt · Accepted Answer

m∠B = 15°; h ≈ 31.28 ft

Question 10

Question 11

Revolt · Accepted Answer

1,270.69

Law of Sines (Sec 8-3) Answers

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