Bearings

110.
An object travels from points A to point B on a bearing of 075°.
The distance between A and B is 60 km.
Using a scale of 1 cm to 12 km, draw a diagram to represent this journey.
The point B is already marked.
B
[2]
Paper 1
111.
In the diagram, B is 12 m due east of A.
C is 13 m from A and due south of B.
North A B C 12 13 x NOT TO SCALE

Use the following information to answer the questions:
sin−1(1213)=67.4° cos−1(1213)=22.6° tan−1(1213)=42.7°

(a) Find the length, x
(b) Calculate angle ACB
(c) Find the bearing of C from A
(a) ......................... [1] (b) ......................... [1] (c) ......................... [2]
Paper 1
112.
A girl walked 6 km from R to S on a bearing of 105°.
The position of R and a North line have been drawn for you.
North R

Using a scale of 1 cm to 1 km, draw a diagram to represent the girl's journey.
[2]
Paper 1
113.
In the diagram, the bearing of P from Q is 260°.
North P North Q 260° NOT TO SCALE

Find the bearing of Q from P.
................................. [2]
Paper 1
68.
The diagram shows the positions of two airbases, Airbase I and Airbase II.
The scale: 1 cm to 5 km.
N N Airbase I Airbase II

(a) A helicopter flies from airbase I to airbase II.
(i) Measure the bearing of Airbase I from Airbase II.
......................... [2]
(ii) Find the actual distance between Airbase II and Airbase I.
......................... km [2]
(b) The helicopter takes 5 minutes to fly from Airbase I to Airbase II.
Calculate the average speed of the helicopter in kilometres per hour.
......................... km/h [3]
(c) The pilot takes 38 minutes to walk from Airbase II to his home.
He arrives at his home at 6.17 pm. Find the time, in a 24 hour clock, at which he left Airbase II.
......................... [2]
(d) A clinic, C, is 10 km from Airbase I on a bearing of 240°.
Mark and label with C the position of the clinic on the diagram.
See diagram [2]
Paper 3