Mathematics (Syllabus D) 4024/21 — October/November 2012

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150

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Topics Algebra and Graphs · Number · Geometry · Trigonometry · Mensuration · Statistics · +2 more

Q1TrigonometryFree sample

(a)

In triangle $PQR$ , $R\hat{P}Q = 18^\circ$ , $P\hat{Q}R = 90^\circ$ and $PR = 4.5\,\text{m}$ .

Fig. 1

Find $PQ$ .

______ $\text{m}$

(b)

In triangle $ABC$ , $AB = 10.2\,\text{m}$ , $AC = 6\,\text{m}$ and $A\hat{C}B = 90^\circ$ .

(i)

Fig. 2

Find $A\hat{B}C$ .

______

(ii)

Fig. 3

$D$ is the point on $CA$ produced such that $BD = 14.3\,\text{m}$ .

Find $AD$ .

______ $\text{m}$

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