Bearings, vectors and trigonometry

Question 1 of 10

A man walks 5 km on bearing 090° and then 12 km on bearing 180°. Find the bearing of his final position from the start (tan⁻¹ 2.4 ≈ 67.4°).

Question 2 of 10

B is 5 km north and 5 km east of A. What is the bearing of B from A?

Question 3 of 10

A man walks 3 km north then 4 km east. His distance from the start is

Question 4 of 10

A ship sails 6 km due east, then 8 km due north. How far is it from its start?

Question 5 of 10

Town B is 10 km from A on a bearing of 030°. How far north of A is B? (cos 30° ≈ 0.866)

Question 6 of 10

If the bearing of B from A is 060°, the bearing of A from B is

Question 7 of 10

A plane flies 300 km on a bearing of 150°. How far south of its start is it? (cos 30° ≈ 0.866)

Question 8 of 10

P is 6 km east and 8 km north of Q. The bearing of Q from P is about (tan⁻¹ 0.75 ≈ 36.9°)

Question 9 of 10

For any angle θ, sin²θ + cos²θ equals

Question 10 of 10

The bearing of due south-west is