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(a) A hot air balloon is connected by the cables from two ground stations A and B with the elevation's angle of the bottom

 

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(a) A hot air balloon is connected by the cables from two ground stations A and B with the elevation's angle of the bottom of the hot air balloon are 40 and 65, respectively, as shown in Figure Q4(a). (Given that the distance between ground stations A and B is 55 meter). 65 40 B 55 m Figure Q4(a): The angles of elevation from the ground stations A and B to the bottom of hot air balloon (i) Find the height of the bottom hot air balloon from the ground. [9 marks] (ii) Find the total length of the cables connected to the bottom hot air balloon from ground stations A and B. [6 marks]

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