Mathematics · May / June 2021 · Paper 42 · Question 6
0580
As printed in the paper
The question as text
NOT TO SCALE 32 m 16 m 19 m 57° 75° A C B D The diagram shows a quadrilateral ABCD made from two triangles, ABD and BCD.
Read automatically from the paper; the printed page above is exact.
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6(a)[3]
2 2 16 + 19 – 2 16 19cos57 × × oe 16.90 to 16.91 [5]
M2 or M1 for 162 + 192 – 2 16 19cos57 × ×
A1 for 285.8 to 285.9 A1
6(b)[4]
74.3 or 74.30 to 74.33 [4]
M2 for [sin ... =] 16.9 sin75 × oe 32
or M1 for 16.9 32 C = oe sin sin75
B1 for [angle BCD =] 30.7 or 30.67 to 30.69… or M1dep for 105 – their angle BCD
6(c)[3]
388 or 387.7 to 387.9… nfww [3]
M1 for 1 2 × 16 × 19 × sin 57 oe
M1 for 1 2 × 16.9 × 32 × sin their (b) oe
6(d)[3]
13.4 or 13.41 to 13.42 nfww [3]
M2 for x = sin57 oe 16
or M1 for distance required is perpendicular to AD soi
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