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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, thehiker's change in vertical position, if he has traveled a

A portion of a hiking trail slopes upward at about a 6 angleTo the nearest tenth of a foot what is the value of x thehikers change in vertical position if he ha class=

Respuesta :

In the given right triangle ABC

we have that

[tex]tan(C=\frac{AB}{AC}\text{ ----> by TOA}[/tex]

substitute given values

[tex]\begin{gathered} tan(6^o)=\frac{x}{120} \\ \\ x=120*tan(6^o) \\ x=12.6\text{ ft} \end{gathered}[/tex]

The answer is the option B

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