In the diagram, $PQR$ is a straight line, $\angle QPS=90{}^\circ $, $PS=5$ cm and $PQ=12$ cm

Question

In the diagram, $PQR$ is a straight line, $\angle QPS=90{}^\circ $, $PS=5$ cm and $PQ=12$ cm. Find the length of $QS$. Write down as a fraction, in the simplest form, $\tan \angle PQS$, $\cos x{}^\circ $. Find the value of $y$, correct to $1$ decimal place.

Accepted Answer

(a) $13$ cm (b)(i) $\frac{5}{12}$ (ii) $-\frac{12}{13}$ (c) $67.4{}^\circ $

Trigonometry of Acute and Obtuse Angles: Evaluating Ratios in the $0^\circ$ to $180^\circ$ Range.

Trigonometry of Acute and Obtuse Angles: Evaluating Ratios in the $0^\circ$ to $180^\circ$ Range.

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