Question 7 — IGCSE 0580 May/June 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Trigonometry · Three-figure bearings. Worth 11 marks.
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Question text
7
North
C
NOT TO
SCALE
60 km
87 km
38°
B
A
The diagram shows the straight roads between town A, town B and town C.
AC = 60km, CB = 87km and B is due east of A.
The bearing of C from A is 038°.
(a) Show that angle ACB = 95.1°, correct to 1 decimal place.
[5]
(b) Without stopping, a car travels from town A to town C then to town B, before returning directly to
town A.
The total time taken for the journey is 3 hours 20 minutes.
Calculate the average speed of the car for this journey.
Give your answer in kilometres per hour.
........................................ km/h [6]
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