Mathematics · May / June 2023 · Paper 42 · Question 7
0580
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The question as text
NOT TO SCALE B A C North 87 km 60 km 38° The diagram shows the straight roads between town A, town B and town C. km AC 60 = , km CB 87 = and B is due east of A. The bearing of C from A is 038°.
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7(a)[5]
Angle CAB = 52 − 1 60sin their 52 180 – 52 – sin 87 95.08… [8]
B1 M3 M2 for 60sin their 52 = oe [sin[...] ] 87
or M1 for 60 87 = oe sin B sin their 52 A1
7(b)[6]
77.1 or 77.08 to 77.11 [6]
B4 for dist travelled = 256.9 to 257[.0…]
or B3 for [AB =] 109.9 to 110[.0…]
or M3 for 60 + 87 + + × × × 60 2 87 – 2 2 60 87 cos 95.1 oe
or M2 for 2 + 2 × × × 60 87 – 2 60 87 cos 95.1 oe or AB2 = 12093. … to 12097. … or 87sin95.1 oe sin their 52
or M1 for AB2 = 602 + 872 – 2 × 60 × 87 × cos 95.1 oe or sin95.1 sin their 52 = oe AB 87 20
M1 for their total distance ÷ 3 60 oe
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