In triangle ACDACDACD, angle CAD=60°CAD = 60°CAD=60°, AD=15AD = 15AD=15 cm and CD=13CD = 13CD=13 cm.
Show that there are two possible values for the length ACACAC, and find them.
Hence state the two possible areas of triangle ACDACDACD, giving your answers to 3 significant figures.
317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.