Add the given vectors by using the trigonometric functions and the pythagorean theorem
You're kidding, right?
A naval cruiser on maneuvers travels 54.0km at 18.7░ west of north,
then turns and travels 64.5km at 15.6░ south of east,
and finally turns to travel 72.4km at 38.1░ east of south.
Find its displacement from its original position.
Let's work this out in baby-steps.
The cruiser went from A to B.
It moved: 54Ěsin18.7░ km west and 54Ěcos18.7░ km north.
B * - - - - - - - :
54 * : 54Ěcos18.7░
* 18.7░ :
Then it went from B to C.
It moved: 64.5Ěcos15.6░ km east and 64.5Ěsin15.6░ km south.
B * - - - - - - - - - +
* 15.6░ :
* : 64.5.sin15.6░
64.5 * :
Then it went from C to D.
It moved: 72.4Ěsin38.1░ km east and 72.4Ěcos38.1░ km south.
: * 72.4
72.4Ěcos38.1░ : *
+ - - - - - - - - * D
Can you determine the location of the cruiser now?