Solution

 

Given information:

90 nm from U.S.S. Minnow to Nozamar

Nozamar is due north from the U.S.S. Minnow

Thead is N 95 E of Nozamar

Thead is N 40 E of U.S.S. Minnow


The first step in solving the triangle is to find the two missing angles.  Since Thead is N 95 E of Nozamar, the supplementary angle is 75 (refer to picture)

The angles of a triangle must equal 180°.  Therefore, the last angle equals 65° (refer to picture)

 

 

The next step is to find the missing sides.  To find the side across from the angle of 75°, you must use the Law of Sines.

* Law of Sines   

 

 

Therefore,  à  à

 

And           à   à