Use your work from the previous problem to answer the following questions.  

1. If the plane flies for $1.5$ hours (as originally planned), where will the plane be relative to Houston?

   Hint (a):

   Draw a diagram.

   

2. Your pilot does not realize his error until you are due south of Houston. What course should you fly in order to head straight for Houston? How long would the entire trip (from New Orleans to Houston) take?

   Hint (b):

   Find the components of the resultant vector. The 'i' component needs to equal 315 miles. This will help you find the time for the first part of the trip.

3. Suppose that you were aware of the weather conditions. What heading should you fly in order to have a true course towards Houston? Using this course, how long will it take to reach the destination?

   Hint (c):

   Draw a triangle and solve.

   Answer (c):

   $282.4º$, $≈ 1.97$ hours