2. Show all your work including both a diagram and algebraic solution. When crossing over Lincoln, Nebraska, the plane runs into a headwind of 25 mph due East. If the plane does not make any corrective action, it will slow down and arrive in San Francisco late. How fast would the plane have to fly in order to maintain its intended speed and not lose any time?
3. Show all your work including both a diagram and algebraic solution. When the plane crosses the border to Utah, it encounters a cross wind of 15 mph 5 degrees West of North. What speed and direction must the plane head in to keep going due West at 545 mph?