DETERMINE THE RESULTANT VELOCITY OF 75 M/SEC, 25 DEGREES EAST OF NORTH AND 100 M/SEC, 25 DEGREES EAST OF SOUTH

We have two vectors here   v₁ = < 75cos(65) , 75sin(65) >    and v₂ = < 100cos(295), 100sin(295) >

Adding the x components, we have   75cos(65)  + 100cos(295) = about 73.96

Adding the x components, we have   75sin(65)  + 100sin(295) = about -22.66

And the resultant is given by

√[73.96² + (-22.66)² ] =  about 77.35

And the resultant angle is given by

tan^-1(-22.66/73.96) = about -17.03° or about  S(72.97°)E    (using "heading" notation)

thanks Chris,

One day I will get the time to 'study' your vector answers.