Bearing - navigation

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.

Correct answer:

x =  159 km

Step-by-step explanation:

u=(84cos17;84sin17)=(80.33;24.559) v=(135cos107;135sin107)=(39.47;129.101) x=u+v=(80.33+(39.47))2+(24.559+129.101)2=159 km 



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Tips to related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
See also our trigonometric triangle calculator.
Pythagorean theorem is the base for the right triangle calculator.

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