Given:
Angle between Ship B and the pier 35°.
Angle between Ship A and the pier 54°.
To find:
The angle between Ship A and Ship B.
Solution:
It is clear that location of pier, Ship A and Ship B forms a triangle as shown in below figure.
Let the angle between Ship A and Ship B be x.
According to angle sum property, the sum of all the interior angles of a triangle is 180°.
[tex]35^\circ+54^\circ+x=180^\circ[/tex]
[tex]89^\circ+x=180^\circ[/tex]
[tex]x=180^\circ -89^\circ[/tex]
[tex]x=91^\circ[/tex]
Therefore, the angle between Ship A and Ship B is 91°.