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The diagram below represents two vertical watch-towers AB and CD on a level ground. P and Q are two points on a straight road BD. The height of the tower AB is 20 m and road BD is 200 m.
(a) A car moves from B towards D. At point P, the angle of depression of the car from point A is #11.3^0#. Calculate the distance BP to 4 significant figures.
(b) If the car takes 5 seconds to move from P to Q at an average speed of 36 km/h, calculate the angle of depression of Q from A to 2 decimal places.
(c) Given that QC=50.9 m, calculate:
(i) The height of CD in metres to 2 decimal places;
(ii) The angle of elevation of A from C to the nearest degree