Question 7 — IGCSE 0580 Oct/Nov 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Trigonometry · Right angled triangles. Worth 16 marks.
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Question text
7 (a)
X
2.8 m
NOT TO
R
SCALE
7.1 m
P Q
The diagram shows a right-angled triangle PQR on horizontal ground.
X is vertically above R and the angle of elevation of X from P is 21°.
XR = 2.8 m and RQ = 7.1 m.
(i) Calculate the angle of elevation of X from Q.
................................................. [2]
(ii) Calculate PQ.
............................................. m [3]
(b)
M
9.1 cm
NOT TO
SCALE
32°
L K
16.7 cm
Calculate the acute angle KML.
Angle KML = ................................................ [3]
© UCLES 2023 0580/42/O/N/23
11
(c)
C
21.5 cm
NOT TO
SCALE
A
12.3 cm B D
The area of triangle ABC is 62.89cm2.
(i) Show that angle BAC = 28.4°, correct to 1 decimal place.
[2]
(ii) Calculate BC.
............................................ cm [3]
(iii) AB is extended to a point D such that angle BDC = 90°.
Calculate BD.
............................................ cm [3]
© UCLES 2023 0580/42/O/N/23 [Turn over
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