(i) Using Componendo and Dividendo solve for x:


(ii) Which term of the Arithmetic Progression (A.P.) 15, 30, 45, 60... is 300? Hence find the sum of all the terms of the Arithmetic Progression (A.P.)

(iii) From the top of a tower 100 m high a man observes the angles of depression of two ships A and B, on opposite sides of the tower as 45° and 38° respectively. If the foot of the tower and the ships are in the same horizontal line find the distance between the two ships A and B to the nearest metre. (Use Mathematical Tables for this question.)



Solution



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