ACARA AC9M10M03, Applied trigonometry

Year 10 · Measurement

Solve practical problems with Pythagoras' theorem and right-angled trigonometry, including direction and angles of elevation and depression.

Below are free printable maths worksheets that support AC9M10M03. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Solve practical problems with Pythagoras' theorem and right-angled trigonometry, including direction and angles of elevation and depression.

How to teach it

Sort and name 2D and 3D shapes by their properties (sides, angles, faces), then build up to perimeter (add the sides) and area (cover with unit squares).

Worked example

Rectangle 2 cm by 15 cm. Area = ___ sq cm

Answer: 30

Generated and checked in code, so it is correct.

Watch out for

Confusing perimeter and area, and judging a shape by its orientation rather than its properties.