Question

TRIGONOMETRY What is the angel of the pedestrians resultant vector?

Answer 1

First, let's draw a diagram showing the resulting distance traveled by the pedestrian:

In order to calculate angle x, we can use its tangent relation.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

Since the directions are west and south, let's use negative values for the distances:

`\begin{gathered} \tan (\theta)=(-7.4)/(-9.2) \\ \tan (\theta)=0.804348 \\ \theta=\tan ^(-1)(0.804348) \\ \theta=38.81+180 \\ \theta=218.81\degree \end{gathered}`

(We added 180° because the angle is in quadrant III instead of quadrant I).

Therefore the angle is 218.81°.