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Q6. The depth of water, h metres, over a sandbar at the mouth of a river on a particular day, is given by:

h = 5 + 3 cos⁡ πt/6

Where t is the number of hours after local high - water.

Calculate EACH of the following for that day:

(i) the minimum depth of water over the sandbar.

(ii) the time when the minimum depth occurs:

(iii) the latest time, after high - water, when a vessel of draught 4.5 metres may sail over the sandbar with a clearance of 1.3 metres.

b) TWO radar targets are observed simultaneously at ranges of 5 and 9 nautical miles when the difference in their bearings is 32°.