A vertical mast TM TM\,TM stands on level horizontal ground, with M M\,M at ground level.
From a point A A\,A on the ground, the angle of elevation of the top of the mast T T\,T is 28°28°28°.
From a point BBB, which is 40 m from A A\,A and lies on the straight line AM AM\,AM between A A\,A and MMM, the angle of elevation of T T\,T is 47°47°47°.
Find the height of the mast, giving your answer to 3 significant figures.
State one modelling assumption you have made.
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.