Law of Sines and Cosines

Two fishing boats leave the harbor at 6am each traveling in straight line. The angle between their paths is 65 degrees. The first boat averages 15 mph and the second boat averages 25 mph. How are apart are the two boats after 2 hours?

• 23.01 miles

• 20.2 miles

• 46.18 miles

• 53.7 miles

A flight has a heading of 32 degrees, as measured clockwise from north. What is its new heading after turning a quarter turn clockwise?

• 122 degress

• 302 degrees

• 337 degrees

Use the law of sines to solve a triangle given A = 42 degrees, a = 18 and b = 22.

• 12.9

• 7.3

• 125.1

• 6.0

Two points, A and B, are 6 miles apart on level ground. An airplane is flying between A and B. The angle of elevation to the plane from point A is 51 degrees and from point B is 68 degrees. What is the altitude of the plane? (round to the nearest hundredth)

• 6.21 miles

• 4.94 miles

• 2.53 miles

• 10 miles

The angle of elevation from a point P 65 yards from a tree is 31 degrees. The tree leans 7 degrees away from P. How tall is the tree?

• 99.25 ft

• 56.54 ft

• 130.2 ft

• 127.45 ft