Answer:
They should walk on a bearing of 59.4 degrees
Step-by-step explanation:
Given
Required
The bearing back to the base
The given question is illustrated with the attached image.
To do this, we simply calculate the measure of angle a using:
Take arctan of both sides
This problem is solved better well when given the drawing or the figure. It may have been given and you forgot to attach it in the question. However, so that we can solve this now, I drew the figure on my own (see the attached pic).
We can see from the figure that two parallel lines are intersected by a straight line. This type of scenario creates special angles. Angle PXY and angle RYX are called alternate interior angles since they are on the interior opposite sides of the cut.
By virtue of alternating interior angles, angle PXY and angle RYX are congruent hence:
m∠RYX = m∠PXY
m∠RYX = 64.36°
