Question 5 — IGCSE 0580 May/June 2023 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Vectors (basic). Worth 12 marks.
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Question text
5 (a)
X
Y
NOT TO
SCALE
4.8 m
A
20.4°
C
5.6 m
B
ABC is a scalene triangle on horizontal ground.
AYX is a straight vertical post, held in place by two straight wires XB and YC.
AC = 4.8 m, BC = 5.6 m and angle ACB = 20.4°.
(i) Calculate AB.
AB = ............................................ m [3]
(ii) Angle XBA = 64°.
Calculate AX.
AX = ............................................ m [2]
(iii) AY = 2.9 m.
Calculate the area of triangle YAC.
........................................... m2 [2]
© UCLES 2023 0580/43/M/J/23
9
(b)
R
30°
NOT TO
SCALE
8 cm
75°
P
M Q
In triangle PQR, M is the midpoint of PQ.
RM = 8 cm, angle PRM = 30° and angle RMQ = 75°.
Calculate PQ.
PQ = ........................................... cm [5]
© UCLES 2023 0580/43/M/J/23 [Turn over
10
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