I'm working on a calculus discussion question and need an explanation and answer to help me learn.

1. while steering a boat you come across two islands, one to the left and one to your right. You decide to visit whichever island is closest. You can't be certain of your exact position, but you do know these islands are 16.3 km apart. You determine the angle from your direction of travel to the island on your left is 61°. After traveling another 2 km, you find the angle is now 72.1° and the island to the right is 42.1°.

Which island is closer?

2. In the scenario below find angle ∠P.

A Phil (P) and Kevin (K) were out flying a model airplane. Phil flew the airplane 15.5 yards towards Howard Park (H), then Phil turned the plane 77 degrees and flew 26.1 yards to Kevin. When Phil turned from looking toward Howard Park to looking at Kevin, what was the angle?