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Q6. (a) An observer on a level plain measures the elevation of a captive weather balloon to be be 20° and after moving 300 m towards the balloon the observer measures the elevation to to be 32°.

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 = 10sin (100πt – 0.25) where t is the time in seconds.

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