Law of Sines

Question 1

Complete the work to determine the value of a.

Revolt · Accepted Answer

5.81

Question 2

Determine the measures of all unknown angles and side lengths of △JKL. Round side lengths to the nearest hundredth.

Revolt · Accepted Answer

✔ 42; m∠K = °: 42; JK ≈: 10.52; LK ≈: 21.07

Question 3

7.119.28✔ 10.52

Revolt · Accepted Answer

✔ 10.52

Question 4

7.49X 15.96✔ 21.07

Revolt · Accepted Answer

✔ 21.07

Question 5

ΔJKL has j = 7, k = 11, and m∠J = 18°. Complete the statements to determine all possible measures of angle K.

Revolt · Accepted Answer

Triangle JKL meets the criteria, which means it is the ambiguous case.: SSA; Cross multiply: 11sin(18°) = .: 7sin(K); Round to the nearest degree: m∠K ≈ °.: 29; However, because this is the ambiguous case, the measure of angle K could also be °.: 151

Question 6

✔ 7sin(K)11sin(K)Ksin(7)

Revolt · Accepted Answer

✔ 7sin(K)

Question 7

X 24✔ 2949

Revolt · Accepted Answer

✔ 29

Question 8

43X 66✔ 151

Revolt · Accepted Answer

✔ 151

Law of Sines Answers

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