A pilot flying due east out of Denver sees on the plane's radar that a major thunderstorm is
directly in the plane's path. The pilot turns 35°
to the left of his intended course and continues
on this new flight path. After avoiding the worst
of the storm, he turns 45° to the right of the new
course and flies until returning to his original
intended line of flight. The plane reaches its
original intended course at a point 80 kilometers
from the start of the detour.
a. Draw a sketch of this situation.
b. How much farther did the aircraft travel due to the detour?