Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-10
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y10-01
Resources
- Dr Austin Maths - Mixed Trigonometry Practice Grid: PDFQuestions PDF · Answers
- CorbettMaths - Trigonometry (finding sides and angles) worksheetQuestions PDF · Answers
Terminology
- Trigonometry
- Trigonometric ratio
- Right-angled triangle
- Hypotenuse
- Adjacent
- Opposite
- SOH CAH TOA
- Sine
- Cosine
- Tangent
- Inverse trigonometric function
- Angle of elevation
- Angle of depression
Task goals
- Foundation: Given a right-angled triangle with two known sides labelled, identify the correct ratio and use the inverse trig function to find the marked angle to one decimal place.
- Proficient: Identify opposite, adjacent and hypotenuse from a labelled right triangle without prompts, choose the correct trig ratio, and calculate an unknown angle, including cases requiring unit conversion.
- Excellence: Solve multi-step problems (e.g. angles of elevation/depression or compound shapes) that require finding an unknown angle using trigonometry alongside other reasoning steps.
Where this fits
What leads into this objective, and where it goes next.
You are here
Introduction to Trigonometry: Finding an Angle
Do
Using the properties of similarity in 2D shapes, including right-angled triangles, to find unknown lengths and angles
Statement▸
Year 10 · Geometry · Shapes
NZC26-P4-GEO-SHP-P-Y10-01
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. Extension resources: Trigonometric Ratios: Finding a Side, Using the Sine Rule to find missing sides.
Also under GM5-10:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.