Applications of Right-Angled Triangles (VCE SSCE General Mathematics): Quizzes

Drawing diagrams, identifying sides, choosing ratio

The longest side, opposite the right angle

$\tan \theta = \frac{\text{opposite}}{\text{adjacent}}$

$\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$

To find an unknown angle when two sides are known

Cosine = Adjacent/Hypotenuse

Evaluate the entire expression in one step

Tangent

$\theta = \cos^{-1}\left(\frac{\text{adjacent}}{\text{hypotenuse}}\right)$

Draw a clear, labelled diagram