Bearings
1. Draw the following bearings
a. 265°
b. A 15 km away from a point B on a bearing of 063° from B
(2 marks)
2. For each of the following, state the bearing of
a. X from Y
b. Y from X
i.
ii.
(2, 3
marks)
3. A ship travels from Akron (A) on a bearing of 030° to Belville (B), 90
km away. It then travels to Comptin (C) which is 310 km due east of
Akron (A), as shown in the diagram below
a. Indicate on the diagram the bearing of 030° and the distances
90km and 310 km.
(2 marks)
b. Calculate, to the nearest km, the distance between Belville (B) and
Comptin (C).
(2 marks)
c. Calculate, to the nearest degree, the measure of angle 𝐴𝐵̂ 𝐶.
(2 marks)
d. Determine the bearing of Comptin (C) from Belville (B)
(3 marks)
4. An oil tanker leaves town X and travels on a bearing of 050o to town Z,
50km away. The tanker then travelled to town Y, 75km away, on a
bearing of 120o.
a. Draw a carefully labelled diagram of the tankers’ journey, clearly
showing the north line.
(3 marks)
b. Calculate the distance of Y from X, giving your answer to 3 s.f.
(2 marks)
c. i. On your diagram, mark the angle that shows the bearing of X
from Y.
( 1 mark)
ii. Calculate the bearing of X from Y, giving your answer to the
nearest degree.
(3 marks)
5. The diagram below, not drawn to scale, shows three stations P, Q and
R such that the bearing of Q from R is 116° and the bearing of P from
R is 242°. The vertical line at R shows the North direction.
a. Show that angle PRQ = 126°
(2 marks)
b. Given that PR = 38 metres and QR = 102 metres, calculate the
distance PQ giving your answer to the nearest metre. (3 marks)