Based on the information and diagram of the question, you can use the tangent function to get the value of x. Notice that you have a right triangle in the figure.
Then, you have:
tan x = opposide side/adjacent side
tan x = 130 mi/171 mi
tan x = 0.76
to solve for x, apply tanā»Ā¹ both sides:
tanā»Ā¹(tan x) = tanā»Ā¹(0.76)
x = tanā»Ā¹(0.76)
x = 37.24Ā°
Hence, the pilot should turn an angle of 37.24Ā° to fly directly to the airport, which is approximately 37.2Ā°