Mathematics · May / June 2025 · Paper 42 · Question 20
0580
As printed in the paper
The question as text
10 m 12 m 56° 34° ç C Î A NOT TO SCALE The diagram shows a quadrilateral AÎCç. Cç = 10 m and çÎ = 12 m. Angle çÎA = 90°, angle CçÎ = 56° and angle AçÎ = 34°.
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20(a)[2]
8.09 or 8.094… [2]
M1 for tan 34 = AB oe 12
20(b)[3]
98.3 or 98.28 to 98.31 [3]
M1 for 1 10 12sin56 2 × × oe
M1 for 1 12 × × their (a) oe 2
20(c)[5]
43[.0] to 43.1 [5]
M2 for [BC =] − 10 +12 2 2 2×10×12cos56
or M1 for [BC [2]
=] 102 +122 – 2×10×12cos56 12
M2 for [AD =] oe cos34
or M1 for cos 34 = 12 oe AD
20(d)[3]
6.71 or 6.706 to 6.710… [3]
M2 for sin 34 = dist oe or 12 1 1 × × = × × 12 their a ( ) theirAD dist oe 2 2
or M1 for recognition of perpendicular distance
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