Asked by David simon michael
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
a.distance XZ correct to two decimal places
b.bearing of Z from X correct to the nearest degree
Answers
Answered by
Steve
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.
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.
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