For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find angle x to the nearest tenth. 68.3 by The Law of Cosines (SSS)22.9 by The Law of Cosines (SAS)10.7 by The Law of Sines (SAS)8.8 by The Law of Sines (SSA)
Accepted Solution
A:
For this case using the law of the sine we have the following mathematical relationship: x / sine (21) = 27 / sine (65) Clearing x we have: x = (27 / sine (65)) * (sine (21)) x = 10.68 units Rounding off we have: x = 10.7 units Answer: 10.7 by The Law of Sines (SAS)