Mathematics 0580 · IGCSE · Trigonometric functions

Trigonometric functions — practice question

The diagram depicts two right-angled triangles $PQS$ and $RQT$. $PQR$ and $QTS$ lie on straight lines. The diagram gives: $PS = 18$ cm; angle at $P$ is $28^\circ$; $SQ$ is vertical with a right angle at $Q$; $ST = 4$ cm; $QR = 9$ cm. NOT TO SCALE.
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Calculate the angle $QTR$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “From the triangle, $\sin28 = \frac{QS}{18}$” …

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