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Year 11 (2025) Maths Advanced Trigonometry

Elevation And Depression

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Question 1
124517

A rocket launched vertically from \(A\) is observed from \(B\).

Soon after the launch when at position \(\mathrm{C}\) its angle of elevation is \(30^{\circ}\). After it climbs 5000 metres from this position to \(D\) its angle of elevation is \(65^{\circ}\)

i) Find \(\mathrm{BC}\) to the nearest metre.

ii) Find how far the observer is from the launching pad to the nearest metre.

i) \(3684 \mathrm{~m}\)

ii) \(3190 \mathrm{~m}\)

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