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1.8 E: Trigonometry

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Question 13

A plan for an observation deck is shown below. The design consists of a major sector ABCOA ABCOA\,ABCOA of a circle with centre OOO, joined to a triangular viewing platform AODAODAOD. It is given that:

  • The radius of the circle OA=OC=10 mOA = OC = 10\text{ m}OA=OC=10 m
  • The platform edge AD=22 mAD = 22\text{ m}AD=22 m
  • The angle ∠ODA=0.40 radians\angle ODA = 0.40\text{ radians}∠ODA=0.40 radians
  • ∠AOD \angle AOD\,∠AOD is an obtuse angle
  • OCD OCD\,OCD is a straight line

Find:

Plan of the observation deck showing major sector ABCOA and triangular platform AOD, with O, C and D collinear.

a.

the size of angle AODAODAOD, in radians, to 3 decimal places,

[3]
b.

the length of arc ABCABCABC, in metres, to one decimal place,

[2]
c.

the total area of the deck, in m2\text{m}^2m2, to one decimal place.

[3]

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank