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Question id: 101. This question is similar to one that appeared in an IB Studies paper in 2014. The use of a calculator is allowed.

ABC is a triangular car park on horizontal ground. The length of AB is 90m and the length of AC is 65m. The size of angle BCA is 68^{o}.

(a) Find the size of angle ABC.

(b) Find the area of the triangular car park.

M is the midpoint of AC.

(c) Find the length of BM.

A vertical flag pole, FB, is erected in one corner of the car park with its base at B.

The angle of elevation of F from M is 55.3^{o}. H is the midpoint of the flag pole.

(d) Calculate the angle of elevation of H from M.

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