Hello, Daniel!

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: 54·sin18.7° km west and 54·cos18.7° km north. Code:

54·sin18.7°
B * - - - - - - - :
* :
* :
54 * : 54·cos18.7°
* 18.7° :
* :
* :
* :
* A

Then it went from B to C.

It moved: 64.5·cos15.6° km east and 64.5·sin15.6° km south. Code:

64.5.cos15.6°
B * - - - - - - - - - +
* 15.6° :
* : 64.5.sin15.6°
64.5 * :
* :
* C

Then it went from C to D.

It moved: 72.4·sin38.1° km east and 72.4·cos38.1° km south. Code:

C *
: *
:38.1°*
: * 72.4
72.4·cos38.1° : *
: *
+ - - - - - - - - * D
72.4·sin38.1°

Can you determine the location of the cruiser now?