Question Type 1: Finding angles using bearings Bootcamps

Question 1

Skill question

In triangle ABC, the bearing of B from A is $85^\circ$ and the bearing of C from B is $200^\circ$ . Find the interior angle $\angle ABC$ .

Question 2

Skill question

In triangle ABC, the bearing of B from A is $50^\circ$ and the bearing of C from B is $170^\circ$ . Calculate the interior angle $\angle ABC$ .

Question 3

Skill question

In triangle ABC, the bearing of B from A is $330^\circ$ and the bearing of C from B is $120^\circ$ . Determine the interior angle $\angle ABC$ .

Question 4

Skill question

At point P, the bearing of Q from P is $45^\circ$ and the bearing of R from P is $150^\circ$ . Find the interior angle $\angle QPR$ .

Question 5

Skill question

In triangle ABC, the bearing of A from B is $300^\circ$ and the bearing of C from B is $070^\circ$ . Find the interior angle $\angle ABC$ .

Question 6

Skill question

In triangle ABC, the bearing of B from A is $65^\circ$ and the bearing of C from A is $215^\circ$ . Calculate the interior angle $\angle BAC$ .

Question 7

Skill question

Points P, Q, and R form a triangle. The bearing of Q from P is $025^\circ$ , the bearing of R from P is $145^\circ$ , and the bearing of R from Q is $195^\circ$ . Calculate the interior angle $\angle PQR$ .

Question 8

Skill question

In triangle ABC, the bearing of B from A is $55^\circ$ , the bearing of C from A is $235^\circ$ , and the bearing of C from B is $160^\circ$ . Find the interior angle $\angle ABC$ .

Question 9

Skill question

In triangle ABC, the bearing of B from C is $210^\circ$ and the bearing of A from C is $20^\circ$ . Calculate the interior angle $\angle ACB$ .

Question 10

Skill question

At point P, the bearing of T from P is $40^\circ$ , the bearing of U from P is $190^\circ$ , and the bearing of U from T is $160^\circ$ . Find the interior angle $\angle PTU$ .

Question 11

Skill question

In triangle ABC, the bearing of B from A is $90^\circ$ , the bearing of C from A is $170^\circ$ , and the bearing of C from B is $220^\circ$ . Find all three interior angles of triangle ABC.

Question 12

Skill question

In triangle ABC, the bearing of B from A is $75^\circ$ , the bearing of C from A is $250^\circ$ , and the bearing of B from C is $190^\circ$ . Determine the interior angle $\angle ACB$ .