Question

A man walked 50 m to the south, turned, walked 40 m to the west.

4. Which direction best describes his final position?
A. 649
B. 231°
C. 2929
D. 331°

Answer 1

Direction is N 51.3° E

Step-by-step explanation:

» From trigonometric ratios:

`{ \tt{ \red{ \tan( \theta) = \frac{opposite \: { \blue{(south)}}}{adjacent \: { \blue{(west)}}} }}} \\ \\ { \tt{ \tan( \theta) = (50)/(40) = (5)/(4) }} \\ \\ { \tt{ \theta = { \tan }^( - 1) ( (5)/(4)) }} \\ \\ { \tt{ \theta = 51.3 \degree}} \\ \\ { \boxed{ \tt{ \: direction : \:{ \green{N }}\: 51.3 \degree \: { \green{ E }}}}}`