Mathematics · May / June 2020 · Paper 41 · Question 7
0580
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The question as text
72° 80 m North NOT TO SCALE 115 m A B C The diagram shows the positions of three points A, B and C in a field.
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7(a)[3]
[BC2 =] 802 + 1152 – 2 × 80 × 115 cos 72 oe 118.06… [4]
M1 A2 A1 for 13939…
7(b)[3]
67.8 or 67.9 or 67.83 to 67.88 [3]
M2 for [sin B =] 115 sin72 × oe 118.1
or M1 for 115 118.1 B = oe sin sin72
7(c)(i)[3]
255 [3]
B1 for bearing of B from A is 75 soi
M1 for 180 + 75 oe
7(c)(ii)[2]
[00]7.2 [2]
M1 for their (c)(i) – their (b) –180
7(d)[3]
11.8 or 11.82 to 11.83 [3]
M1 for 115 ÷ 35 oe
M1 for their speed in m/s × 60 × 60 ÷ 1000
7(e)[3]
76.1 or 76.08 to 76.09 [3]
M2 for distance = sin72 oe 80
or M1 for distance required is perpendicular to AC soi
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