Hello, tishtash7!
Did you make a sketch?
A ship rounds a headland by sailing first four nautical miles on a course of 069°
then five nautical miles on a course of 295°.
Calculate the distance and bearing of its new position from its original position. Code:
C * Q
* * :
* * :
* * 65°:
* P * :
* : 46° * B
* : * :
* : * :
* :69°* 69°:
*: * :
* :
A R
The ship sails 4 miles from to
. .
Then it sails 5 miles from to
. .
Hence: .
In use the Law of Cosinse:
. .
Therefore:.
Law of Cosines again: .
. . Hence: .
Then: .
Therefore, the bearing is: .