Question

While warming up for their famous race, the hare started at point A, hopped 50 meters due north, and then 30 meters due west to end up at point B. The tortoise also started at point A but plodded along a straight line to point B. What was his azimuth of travel?

Answer 1

329.04 degrees

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.

`Tan \theta =(Opposite)/(Adjacent) \\Tan \theta =(30)/(50)\\\theta=arctan ((30)/(50))\\\theta=30.96 degrees`

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