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Date May 2017 Marks available 3 Reference code 17M.1.sl.TZ1.13
Level SL only Paper 1 Time zone TZ1
Command term Find Question number 13 Adapted from N/A

Question

A triangular postage stamp, ABC, is shown in the diagram below, such that AB=5 cm,BˆAC=34,AˆBC=26 and AˆCB=120.

M17/5/MATSD/SP1/ENG/TZ1/13

Find the length of BC.

[3]
a.

Find the area of the postage stamp.

[3]
b.

Markscheme

BCsin34=5sin120     (M1)(A1)

 

Note:     Award (M1) for substituted sine rule formula, (A1) for correct substitutions.

 

BC=3.23 (cm) (3.22850 (cm))     (A1)     (C3)

[3 marks]

a.

12(5)(3.22850)sin26     (M1)(A1)(ft)

 

Note:     Award (M1) for substituted area of a triangle formula, (A1) for correct substitutions.

 

=3.54 (cm2) (3.53820 (cm2))     (A1)(ft)     (C3)

 

Note:     Follow through from part (a).

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 5 - Geometry and trigonometry » 5.3
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