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May 2, 2016
Posted by **anonymous** on Thursday, January 10, 2013 at 4:27am.

- trigonometry -
**Reiny**, Thursday, January 10, 2013 at 8:20amif we indicate a path by (r,Ø) , where r is the distance and Ø is the direction measured counterclockwise from 0 at the normal position

then in component form (rcosØ,rsinØ we have

(15,S W40°10' W) = (15,229°50') = (-9.6752, -11.46257)

(21, N 28°20') = (21,118°20') = -9.9666, 18.4842)

add those two vectors for ( -19.6428, 7.021658)

magnitude = √(-19.6428^2+7.02168^2) = 20.859

direction:

tanØ = .7021.../-19.642.. = ..

Ø = W 19°40' N

check my arithmetic