Date | May 2018 | Marks available | 3 | Reference code | 18M.2.sl.TZ2.2 |
Level | SL only | Paper | 2 | Time zone | TZ2 |
Command term | Find | Question number | 2 | Adapted from | N/A |
Question
The following diagram shows quadrilateral ABCD.
AB=11cm,BC=6cm,B∧AD = 100∘, and C∧BD = 82∘
Find DB.
[3]
a.
Find DC.
[3]
b.
Markscheme
evidence of choosing sine rule (M1)
eg asin A=bsin B=csin C
correct substitution (A1)
eg DBsin 59∘=11sin 100∘
9.57429
DB = 9.57 (cm) A1 N2
[3 marks]
a.
evidence of choosing cosine rule (M1)
eg a2=b2+c2−2bccos(A),DC2=DB2 + BC2 − 2DB×BC×cos(D∧BC)
correct substitution into RHS (A1)
eg 9.572+62−2×9.57×6×cos82∘,111.677
10.5677
DC = 10.6 (cm) A1 N2
[3 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.