a) Given that sin θ = 5/13 and θ is acute, find without using tables or calculator, the values of: (i) cos θ (ii) tan θ (iii) sin 2θ b) The angle of elevation of the top of a vertical tower from a point P on horizontal ground is 23.6°. From another point Q, which is 50 m closer to the foot of the tower on the same horizontal ground, the angle of elevation of the top of the tower is 41.2°. Calculate, correct to three significant figures: (i) the height of the tower (ii) the distance PQ from the foot of the tower to P
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