Triangles-And-Properties-Of-Triangle Question 53

Question: The angle of elevation of the top of a vertical tower from a point A, due east of it is $ 45{}^\circ . $ The angle of elevation of the top of the same tower from a point B, due south of A is $ 30{}^\circ . $ If the distance between A and B is $ 54\sqrt{2}m, $ then find the height of the tower (in metres).

Solution:

Answer: 54.00



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