A portion of a hiking trail slopes upward at about a 6° angle. To the nearest
tenth of a foot, what is the value of x, the hiker's change in vertical position, if
he has traveled a horizontal distance of 120 feet?


Respuesta :

Answer:

12.6 feet

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

The slope is also the tangent of the angle of the opposite side (rise) divided by the adjacent side (run)

In this problem

we have

[tex]m=tan(6^o)[/tex]

[tex]run=120\ ft[/tex]

[tex]rise=?[/tex]

substitute

[tex]tan(6^o)=\frac{rise}{120}[/tex]

[tex]rise=tan(6^o)(120)=12.6\ ft[/tex]