An airplane pilot wishes to fly due west. A wind of 80.0 km/h (about 50 mi/h) is blowing toward the south. (a) If the airspeed of the plane (its speed in still air) is 320.0 km/h (about 200 mi/h), in which direction should the pilot head?

Video transcript

Welcome back everybody. We are told that a storm is making a gust of wind push north and the velocity of the storm, which I will represent with the letter a relative to the ground is 100 km/h. We are also told that along an east west line right here, that the air speed of a plane relative The storm is flying through and it has a velocity of 300 km/h. We're told that a pilot wishes to travel east and we are tasked with finding out what angle above this vector right here. Should he travel in order to achieve his goal? Well, The sign of our angle right here is just going to be equal to the magnitude of the opposite side. Over the hypotenuse of this little triangle, we're just going to have 100 over 300 taking the arc sine of both sides in order to isolate data, this yields that data is equal to the arc sine Of 100 over 300, which when you plug into your calculator at 19.5° South um East responding our final answer. Okay, thank you guys so much for watching. Hope this video helped and we will see you all in the next one