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Q6. (a) An observer on a level plain, measures the elevation of a captive weather balloon to be 25° and after moving 400 m towards the balloon the observer measures the elevation to be 38°. Calculate EACH of the following:

(i) The horizontal distance of the balloon from the first observation point; (8)

(ii) The height of the balloon. (2)

(b) An alternating current, i milliamps, is given by:

i = 30 sin(100πt - 0.45) where t is the time in seconds.

Calculate the least value of t, for t > 0, for which the current i = 15 milliamps. (6)