The Law of Sines and Cosines

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Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 20 mph in a direction 350^o . The second sails at 30 mph in a direction of 200^o . Assuming that both boats maintain speed and heading, after 4 hours, how far apart are the boats?

• 193.5 mi

• 133.9 mi

• 147.7 mi

• 136.2 mi

An airplane is sighted at the same time by two ground observers who are 3 miles apart and both directly west of the airplane. They report the angles of elevation as 11^o and 24^o . How high is the airplane?

• 1.04 mi

• 0.57 mi

• 2.21 mi

• 1.22 mi