Two racing boats set out from the same dock and speed away at the same constant speed of 102 km/h for half an hour (0.500 h), the blue boat headed 26.1° south of west, and the green boat headed 38.8° south of west. During this half-hour (a) how much farther west does the blue boat travel, compared to the green boat, and (b) how much farther south does the green boat travel, compared to the blue boat? Express your answers in km

Answer 1

each boat traveled 51km
[email protected] = 51(-cos26.1,-sin26.1)
[email protected] = 51(-cos38.8,-sin38.8)
That will give you the (x,y) coordinates of each boat

Then subtract as needed to get the desired distances