Answer: West and South components of the hiker's walk are:
Ax =-4.7 miles and Ay =-8.1 miles.
It is given that a hiker walks 9.4 miles at an angle of 60° south to west.
It is required to find the west and south components of the hiker's walk.
What is the west and south components of the hiker's walk?
As the hiker walks 9.4 miles from the direction of south to west with angle of 60°, so it forms a right angle triangle with hypotenuse 9.4 miles. And also let perpendicular or y-axis is the west component and base or x-axis is the south component.
For Ay,
Now sin[tex]\theta\\[/tex] = [tex]\frac{y}{9.4}[/tex]
As, sin 60° = 0.86
So, y = -0.86×9.4 =-8.1 miles
For Ax,
Now cos[tex]\theta\\[/tex] = [tex]\frac{x\\}{9.4}[/tex]
As, cos 60° = 0.5
So, y = -0.5×9.4 =-4.7 miles
Therefore, West and South components of the hiker's walk are:
Ax =-4.7 miles and Ay =-8.1 miles.
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