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In: Advanced Math

During a voyage of the old Bass Strait ferry, The Abel Tasman, the Rip at the...

During a voyage of the old Bass Strait ferry, The Abel Tasman, the Rip at the entrance to Port Phillip Bay caused the navigator some concern. He needed to sail due north, but the current was flowing northwest at 10 km/h. In still water, the Abel Tasman has a maximum speed of 25 km/h. Find the following:

(a) the actual direction of travel if he had simply pointed the boat towards North.

(b) the course necessary to travel in the required direction.

(c) the ship’s velocity relative to Point Lonsdale (a fixed point on land).

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