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.

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

Secondary 3

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,
1. $\tan \angle PQS$,
2. $\cos x{}^\circ $.
Find the value of $y$, correct to $1$ decimal place.

Video solution locked

A free account saves your progress; this video needs a course plan.

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create a free account to practise similar questions.

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

Need help? Join our E-Maths tuition for O-Level success.