Question # 1:

Solve for in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20

Oblique triangle ABC; AB = 30; AC = 15 and angle B = 20

1. Type out the two equations substituting the numbers from the diagram.
2. Type out the Law of Sines set of relationships and type out the most appropriate version to use the Law of Cosines for this solution.
3. Solve for a using both methods (show step by step work)

Question # 2:

Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling?

Question # 3:

An archer shoots an arrow at a 75 m distant target; the bull's-eye of the target is at same height as the release height of the arrow. If d = 75 m and v = 37 m/s. At what angle must the arrow be released to hit the bull's-eye if its initial speed is 37m/s?