We have that the vertical and horizontal components of your displacement are
V=27.6m
H=11.7m
From the question we are told that
You walk 30 m at an angle of 67 degrees above the horizontal.
Generally the equation for the Resolution is is mathematically given as
For horizontal components of your displacement
[tex]H=dcos\theta\\\\H=30cos67\\\\H=11.7m[/tex]
For Vertical components of your displacement
[tex]V=dsin\theta\\\\V=30sin67\\\\V=27.6m[/tex]
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