A plane is 130 mi north and 196 mi east of an airport Find x

A plane is 130 mi north and 196 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree.

Solution

given distance along north=130 mi

distance along east=196 mi

therfore, tan(x)=perpendicular/base=130/196=65/98

=> x=arctan(65/98)=33.55 degree