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. (1 point)

159 km

Explanation:

In order to find the distance from starting point to ending point, we have to find the net displacement.

To do that, we have to resolve each displacement along the x- and y- direction.

Here the displacements are:

1) 84 km on a bearing of 17°

2) 135 km on a bearing of 107°

Keeping in mind that the bearing is measured as clockwise from north, we resolve each displacement as follows:

1)

2)

Therefore, the components of the net  displacement are

So, the distance  from starting to ending point is the magnitude of the net displacement:

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