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IB Mathematics: Applications and Interpretation SL · 12.10: Geometry & Trigonometry · 12.10.6

Name Date

Bearings Problem set B

Draw a diagram with north lines first. Give distances to 3 significant figures and bearings to the nearest degree, with three figures.

Each question matches the question with the same number in set A. Do the ones you got wrong there.

Difficulty: first skills applying them stretch

Skills

Write down the bearing of the first place from the second place when the bearing of the second from the first is:
1. (a) 118°;
2. (b) 305°;
3. (c) 037°.
P, Q and R are three camps in a forest. Q is 7 km from P on a bearing of 048°. R is 12 km from Q on a bearing of 137°. Find the distance PR.
A cyclist rides from town P to town Q, 10 km on a bearing of 070°, and then 8 km on a bearing of 152° to town R. Find the bearing of P from R, to the nearest degree.

A walker leaves a car park P and walks 14 km on a bearing of 330° to a hut Q. She then walks 20 km on a bearing of 060° to a lake R.
1. (a) Find the distance PR.
2. (b) Find the bearing on which she must walk from R to return directly to P, to the nearest degree.
A rescue helicopter flies 40 km from its base P on a bearing of 200°, then 30 km on a bearing of 110°. Find how far it is from P.
Two fire lookout towers P and Q are 20 km apart, with Q due east of P. Smoke F is seen from P on a bearing of 062° and from Q on a bearing of 318°.
1. (a) Find the distance of the smoke from P.
2. (b) Find the distance of the smoke from Q.

A walker leaves a station P and walks 15 km on a bearing of 290° to Q. She then walks 11 km on a bearing of 205° to R.
1. (a) Find the distance PR.
2. (b) Find the bearing of P from R, to the nearest degree.

jmaths.xyz · AI SL · 12.10.6 Bearings