document.write( "Question 1005814: An airplane has an airspeed of 500 kilometers per hour (kn/h) bearing N45E. The wind velocity is 60 km/h in the direction N30W. Find the resultant representing the path of the plane relative to the ground. What is the groundspeed of the plane? What is its direction? \n" ); document.write( "
Algebra.Com's Answer #622090 by Alan3354(69443) You can put this solution on YOUR website! An airplane has an airspeed of 500 kilometers per hour (kn/h) bearing N45E. The wind velocity is 60 km/h in the direction N30W. Find the resultant representing the path of the plane relative to the ground. What is the groundspeed of the plane? What is its direction? \n" ); document.write( "--------- \n" ); document.write( "2 sides of the triangle are a = 500 and b = 60. \n" ); document.write( "The included angle C is 75 degs (if the wind is moving TO N30W. Wind direction is given in the direction it's from in aviation.) \n" ); document.write( "------- \n" ); document.write( "The groundspeed is the 3rd side, side c. \n" ); document.write( "Use the Cosine Law to find it. \n" ); document.write( "----- \n" ); document.write( "Then use the Law of Sines to find angle B. Subtract angle B from 045 to find the ground track. \n" ); document.write( " \n" ); document.write( " |