Academics – Mathematics : 2012/DEC/06
Question
Q6. (a) From a ship at sea the angles of elevation of the top and base of a lighthouse standing at the top of a vertical cliff are 35° and 28° respectively.
The lighthouse is 32.4 m high.
Calculate EACH of the following:
(i) the height of the cliff; (8)
(ii) the distance of the ship from the base of the cliff. (2)
(b) An alternating voltage, v, is given by:
v = 45 sin (100πt - 0.4) where t is the time in seconds.
Calculate the least value of t when v = 36.5 volts. (6)
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