A farmer in Guyana needs to calculate the height of a coconut palm. Standing 12 metres from the base, he measures the angle of elevation to the top as 58°. Using tan 58° = 1.6, what is the height of the palm?

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Question

A farmer in Guyana needs to calculate the height of a coconut palm. Standing 12 metres from the base, he measures the angle of elevation to the top as 58°. Using tan 58° = 1.6, what is the height of the palm?

Accepted Answer

19.2 m — 2 m. Award 1 mark for correct calculation: height = 12 × tan 58° = 12 × 1.6 = 19.2 m. A is incorrect — this is 12 ÷ 1.6. B is incorrect — this ignores the tangent ratio. D is incorrect — arithmetic error.

Answer

20.8 m

Answer

7.5 m

Answer

19.2 m

Answer

12.0 m

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