two boats A and B travel due north.

initially boat B is positioned 50 metres due east of boat A.

The distance travelled by boat A and Boat B, after t seconds, are x metres and y metres respectively. The angle is the radian measure of the bearing of boat B from boat A.

(a) show that y=x+50cot

at time T, the following conditions are true:

Boat B has travelled 10 metres further than boat A

Boat B is travelling at double the speed of boat A

The rate of change of the angle is -0.1 radians per second

(b) Find the speed of boat A at time T

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a To show that y x 50cot where is the angle in radians In a right triangle formed by the positions o... View the full answer