Question 10 — IGCSE 0580 March 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Vectors (basic). Worth 15 marks.
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Question text
10
D
16.5 cm NOT TO
SCALE
A
31° 12.3 cm
C
B
The diagram shows a quadrilateral ABCD.
AC = 12.3cmand AD = 16.5cm.
Angle BAC = 31°, angle ABC = 90° and angle ACD = 90°.
(a) Show that AB = 10.54cm, correct to 2 decimal places.
[2]
(b) Show that angle DAC = 41.80° correct to 2 decimal places.
[2]
© UCLES 2023 0580/42/F/M/23
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(c) Calculate BD.
BD = ............................................cm [3]
(d) Calculate angle CBD.
Angle CBD = ................................................ [4]
(e) Calculate the shortest distance from C to BD.
............................................ cm [4]
© UCLES 2023 0580/42/F/M/23 [Turn over
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