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Mathematical Methods — Question 9

QCAA 2022, Paper 2 · 1 mark

Q9 · 2022 · Technology-activeSimple familiar1 mark

QUESTION 9

Determine the length of side

AB

in triangle

ABC

.

Triangle ABC with angles 30°, 113°, 37° and side BC = 12

(A)

22.13

(B)

14.44

(C)

9.97

(D)

7.82

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer B

1 mark

ANSWER

B —

14.44

Worked solution

By the sine rule,

AB/\sin37^\circ=12/\sin30^\circ

, so

AB\approx14.44

; B.

Selects option B.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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