Write a short story where the main character needs protection from two different EM radiations

the higher the current the higher the mag field around it the higher the influence on the compass

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

+15-35=-20

going in opposite directions