from a point x a boat sails 6 km on a bearing of 038 degrees to a point y.it then sails 7 km from y on a bearing of 067 degrees to a point z.calculate the;

a.distance XZ correct to two decimal places
b.bearing of Z from X correct to the nearest degree

1 answer

boats do not sail on bearings. They sail on headings.

angle XYZ is 151°
So, using the law of cosines, the distance XZ is

z^2 = 6^2 + 7^2 - 2*6*7*cos151°

If you draw the diagram, you will be able to figure all the angles needed to find the desired bearing.