Mathematics · May / June 2024 · Paper 42 · Question 6
0580
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The question as text
NOT TO SCALE A D C B 6.5 cm 10.4 cm 64° 26° 42° ABCD is a quadrilateral with . AB 10 4 = cm and . AD 6 5 = cm. Angle ° DAB 64 = , angle ° BDC 26 = and angle ° DBC 42 = .
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6(a)[3]
+ − × × × 10.4 2 6.5 2 2 10.4 6.5 cos64 9.546 to 9.547 [5]
M2 M1 for 10.42 + 6.52 – 2× 10.4 × 6.5 × cos64
A1 for 91.1 to 91.2 A1
6(b)(i)[1]
( ) − + 180 26 42 [1]
B1
6(b)(ii)[3]
6.89 or 6.888 to 6.892... [3]
M2 for 9.55 sin112 × sin 42 oe
or M1 for sin112 sin 42 9.55 =CD oe
6(c)[3]
5.84[2…] [3]
M2 for x 6.5 = sin64 oe
or M1 for identifying shortest distance from D is perpendicular to AB
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