Applications of trigonometry
Choose a subtopic, explore its examples and practise with feedback.
Choose a subtopic.
Explore applications of trigonometry for Year 11. Each subtopic has sample questions and worked answers; choose the skill you want to practise.
Similarity
Triangle determination/congruence versus similarity conditions; AA, proportional SSS and proportional SAS similarity; Using corresponding sides in practical proportions
Examples, answers and practiceRight triangle geometry
Pythagoras and trig ratios; Finding lengths and angles; Two/three-dimensional practical contexts: inclinometers, sun inclination, ladders, cones
Examples, answers and practiceArea of triangles
Area from two sides/included angle; Derivation/selection of area formula; Heron rule from three sides; Practical selection of measurements
Examples, answers and practiceSolving problems with non-right triangles
Cosine rule for side or angle; Sine rule for AAS/ASA and SSA; Ambiguous cases; Direction and bearings
Examples, answers and practice