Aship sails 200 km on a bearing of 243.7 degrees.
(a) how far south has it travelled?
(b) how far west has it travelled?

Step-by-step explanation:

The bearing is always measured from the North direction so when we say that the bearing is 243.7 degrees , It means that the ship has sailed in the direction clockwise of North to  243.7 degrees .

a.

When we try to find the distance it has traveled towards south the cos component is used .

so the Ship traveled = 200 cos (243.7) = - 88.61

Negative value represents the opposite direction from North so we say that

Ship has traveled 88.61 km south .

b.

Now the west direction distance can be found by using the sin component

so the distance traveled in the west direction is

200 sin(243.7) =179.30 km

Ship has traveled 179.30 km west .

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step-by-step explanation:

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