PLEASE HELP 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.

b) An airplane is flying at a constant speed of 500 mph at a bearing of 45° north of west. A 40 mph wind
is blowing due south. What are the plane's actual speed and direction? Draw a diagram and show
your work to justify your answer. Round the speed to the nearest tenth and the direction to the
nearest degree.

c) A canoe team leaves the dock at a bearing of 25° south of east and paddles at a constant speed of
10 mph. There is a 2 mph current moving 80° west of south. What is the canoe’s actual speed and
direction? 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.