Draw vector diagrams based on the given scenarios, and solve the problems involving vectors.

a) Karina travels 5 miles at a bearing of 30 east of north to get to the supermarket. She then travels 10

miles 15 south of east to go to Anissa's house. How far away and in what direction is Karina's house from Anissa's house? Draw a diagram and show your work to justify your answer. Round the distance to the nearest hundredth and the direction to the nearest degree.