Mathematics · May / June 2020 · Paper 22 · Question 27
0580
As printed in the paper
The question as text
A B C F G H E D 6 cm 6 cm 8 cm NOT TO SCALE The diagram shows a cuboid. AB 8cm = , AD 6cm = and DH 6cm = . Calculate angle HAF. Angle HAF = [6]
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64.9 or 64.89 to 64.90 [6]
B5 for [cos =]100 + 72 − 100 2 10 × × 72 OR
M1 for 82 + 62
M1 for 62 + 62 ( theirAF ) 2 + ( theirAH ) 2 − ( theirHF ) 2
M2 for × × 2 ( theirAF ) ( theirAH )
or M1 for (theirHF)2 = (theirAF)2 + (their AH)2 – 2 × (theirAF) × (their AH) cos(HAF) AF, AH etc from correct method
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