(Solved): b) A surveyor wants to calculate the height of a building measures the angle ...

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b) A surveyor wants to calculate the height of a building measures the angle of elevation as \( 30^{\circ} \) at point \( A \). He then walks 10 metres closer to the building at point \( B \) and measures the angle of elevation as \( 40^{\circ} \). i) Find the distance from point \( \mathrm{A} \) to the base of the building at point \( \mathrm{C} \) (length \( \mathrm{AC}) \) (Round your answer to 4 significant figures). (20 marks) Due date: \( 13^{\text {th }} \) January 2023 ii) Find the height \( h \) of the building using the angle of \( 40^{\circ} \) and \( y \) found in part i). (Round your answer to 4 significant figures) (5 marks) iii) Find the distance from point \( \mathrm{A} \) to the top of the building (point \( \mathrm{D} \) ) using the angle of \( 30^{\circ} \) and the height value \( h \) calculated in part ii). (Round your answer to 4 significant figures) (5 marks)