Question 1: What is the bearing of point B from point A if the direction from A to B is exactly east?

Answer: 090

Question 2: A ship sails from port P on a bearing of 045°. It then changes course to a bearing of 135°. How many degrees has the ship turned?

Answer: 90

Question 3: Construct a triangle on the grid with sides AB = 4 units, BC = 5 units, and the bearing of B from A is 060°. Show all steps.

Answer: Constructed triangle with correct side lengths and bearing noted.

Question 4: A runner starts at point X and runs south for 3 units, then turns and runs on a bearing of 150° for 4 units. Plot the runner's path and determine the coordinates of the final point assuming X is at (0,0).

Answer: Final coordinates approximately (-2, -3)

Question 5: Aerial survey: An airplane flies on a bearing of 210° from a starting point. It then changes course to a bearing of 300°. How many degrees has the airplane turned?

Answer: 90

Question 6: Calculate the bearing of point C from point A if A is at (2,3) and C is at (8, 7).

Answer: 045

Question 7: A hiker walks on a bearing of 120° for 6 km, then changes to a bearing of 030° for 4 km. Plot the path and find the approximate coordinates of the hiker's final position starting from (0,0).

Answer: Approximately (2.5 km east, 4.9 km north)

Question 8: Error analysis: A student measures a bearing as 095° when the correct bearing should be 085°. What mistake might they have made?

Answer: Confusing east and west; misreading the compass or angle.

Question 9: If a boat is on a bearing of 330° from a lighthouse and the lighthouse is at (0,0), what is the approximate location of the boat? Assume the boat is 10 km away.

Answer: Approximately (5 km east, -8.7 km south)

Question 10: Challenge: A drone flies on a bearing of 045° for 8 km, then on a bearing of 135° for 6 km. Plot its path and determine its final position relative to the starting point.

Answer: Approximately 2 km east and 2 km north of starting point.