Ayacht is traveling 35° west of south at 15 miles/hour in still water. find the component form of vector r, which represents the yacht's motion. -8.6 15 -16.72 215 235 -12.29 35

<-8.60, -12.29>

Step-by-step explanation:

Pictuas shown in the attached image to represent the direction 35 west of south of  the vector velocity and understand which trig function to use for its components. See the actual vector velocity as the hypotenuse of a right angle triangle.

The vertical component would be pointing down, and its magnitude would result from the use of the cosine of the angle (since it involves the adjacent side to the angle):

15 * cos (35) = 12.29

the horizontal component is pointing left, and its magnitude would be the result of the use of the sine of the angle (it involves the opposite side to the angle):

15 * (sin*35) = 8.60.

Using the fact that the components are pointing down and pointing left, we need to include a negative sign to both.

Therefore the component form of the vector is: <-8.60, -12.29>

The correct answer is A. This is because the numbers are not below 0, they are only positive numbers. Had one number been negative, answer choice B would have been correct because you would need to account for the distance below 0. But, the correct answer is A because you could also use the expression 2 - 3/4, and simply switching 2 and 3/4 around will also get you the same distance.

Hope this helps! :)