Mathematics · May / June 2022 · Paper 41 · Question 7
0580
As printed in the paper
The question as text
NOT TO SCALE 12 km 9 km D A C B 14 km 123° 32° 25°
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
7(a)[4]
39.6 or 39.57.... [4]
+ − 14 2 12 2 9 2
M2 for [cos =] 2 14 12 × ×
or M1 for 92 = 142 + 122 – 2 × 14 × 12 × cos ACD
A1 for 0.7708... or 0.771 or 37 48 oe
7(b)[3]
14sin25 sin123 7.054… [4]
M2 M1 for sin123 sin 25 = oe 14 BC A1
7(c)[3]
3.74 or 3.735 to 3.739 [3]
M2 for 7.05 × sin 32
or M1 for recognition that the line from B is perpendicular to AC
7(d)[4]
11.8 or 11.83 to 11.85 [4]
M1 for 32 + their(a) soi
M2 for + −× × × () + 12 2 7.05 2 2 12 7.05 cos( their a 32) 2 + 2 − 2 ( () ) 12 7.05 BD + =
or M1 for cos their a 32 × × 2 12 7.05
7(e)[2]
309.6 or 309.57... [2]
FT 270 + their(a)
M1 for 270 + their(a) oe
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