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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Dr Math
Q: A ship sailing on a bearing of 090⁰, its direction is?

A: A bearing of  90° is direction to the east.

north representing 0° or 360°
east representing 90°
south representing 180°
west representing 270°


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.

We encourage you to watch this tutorial video on this math problem: video1   video2

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