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A ship travels 84 km on a bearing of 17°, and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.
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A ship travels 84 km on a bearing of 17°, and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.

User Piva
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3 votes

Answer:

159km

Step-by-step explanation:

Please view the diagram below;

The distance x of the ship from the staring point could be simply obtained by Pythagoras's theorem as follows;


x^2=135^2+84^2\\x^2=18225+7056\\x^2=25281\\x=√(25281)\\ x=159km

A ship travels 84 km on a bearing of 17°, and then travels on a bearing of 107° for-example-1
User Jpcanamaque
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