1. The problem statement, all variables and given/known data The airplane traveling at a constant speed of 50m/s is executing a horizontal turn. If the plane is banked at ##\theta=15## when the pilot experiences only a normal force on the seat of the plane, determine the radius of curvature of the turn. Also what is the normal force of the seat on the pilot if he has a mass of 70kg. 2. Relevant equations ##\Sigma F_n = ma_n=N \sin \theta ## ##\Sigma F_b= 0 = N \cos \theta= W ## ##a_n=v^2/r## 3. The attempt at a solution It is pretty much a plug and chug problem with the given equations. The issue I am having is that the problem uses cosine where I have sine and sine where I have cosine. Meaning that the normal force is 75 degrees from the verticle which is impossible or I must be interpreting the problem incorrectly. Please explain why this is or explain what is really happening in the picture where the plane is banking.