Answer:
329.04 degrees
Step-by-step explanation:
The path of the hare and the tortoise is presented in the attached diagram.
To determine the tortoise Azimuth of travel, we first calculate the angle A from the Triangle.
[tex]Tan \theta =\frac{Opposite}{Adjacent} \\Tan \theta =\frac{30}{50}\\\theta=arctan (\frac{30}{50})\\\theta=30.96 degrees[/tex]
The Angle at A is 30.96 degrees.
The tortoise Azimuth of travel is the bearing clockwise from the north.
Thus, his Azimuth of Travel = 360-30.96 =329.04 degrees
He traveled to the north west with an azimuth of 329.04 degrees
