# A ship is sailing due north. At a certain​ point, the bearing of a lighthouse 6.16.1 km away is N36.236.2degrees°E.Later​ on, the captain notices that the bearing of the lighthouse has become S 33.2 degrees E.How far did the ship travel between the two observations of the​ lighthouse?

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A ship is sailing due north. At a certain​ point, the bearing of a lighthouse 6.16.1 km away is N36.236.2degrees°E.

Later​ on, the captain notices that the bearing of the lighthouse has become S 33.2 degrees E.

How far did the ship travel between the two observations of the​ lighthouse?

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Step 1

Given,

A ship is sailing due north. At a certain​ point, the bearing of a lighthouse 6.1 km away is N 36.2 degrees° E. Later​ on, the captain notices that the bearing of the lighthouse has become S 33.2 degrees E.

The above situation is dawn below.

Step 2

Now, by angle sum property of...

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