Help with trig problem. Screenshot is attached

Question

anonymous · Answer

attachment

anonymous · Answer

are you familiar with vectors?

anonymous · Answer

Just started with them yesterday. I'm not getting the right answer tho

anonymous · Answer

so we have one ship travels a total of 16 miles, and the other travels 36 miles.

anonymous · Answer

This is how I have my equation set up. 

d^2=(36)^2+(16)^2-2(36)(16)(cos116)=45.6

anonymous · Answer

try cos(224)

anonymous · Answer

wait 
haha

anonymous · Answer

Thats where I keep messing up how do I get that?

anonymous · Answer

is the answer 48.792?

anonymous · Answer

its been awhile since ive done these so i want to check first then ill explain how i got

anonymous · Answer

I don't know! ;-/ this is my last attempt at this problem lol

anonymous · Answer

ok hold one then

anonymous · Answer

K thanks

anonymous · Answer

i think its just misinterpretting the bearing notation.

anonymous · Answer

when dealing with degree's you start at the north pole and go clockwise. so for S11W i think we should start at north pole and draw an angle around 184 degrees

anonymous · Answer

Ok

anonymous · Answer

im not sure id guess 45.35, but honestly now im confused maybe someone else can help.

anonymous · Answer

No worries thank you for trying!

zepdrix · Answer

|dw:1407705182073:dw|My diagram look ok here?
We're trying to figure out the length of the dotted line, yes?