IB Maths AA HL AA 3.1 3D geometry and triangle trigonometry questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Question 1

Paper 1, no calculatorMedium6 marks

A survey team uses two points, AA and BB on level ground to locate the base PP of a vertical signal mast. Bearings are measured clockwise from north. Figure 1 is not to scale.

Plan view(not to scale)ABP300 mBearing of P from A: 060°Bearing of P from B: 300°Elevation view(not to scale)30°APT
(a)

Use the plan view in Figure 1 to determine APAP Give your answer in exact form.

[4]
(b)

Hence, or otherwise, determine the height PTPT of the mast. Give your answer in exact form.

[2]

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