Question

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

Answer 1

In the given right triangle ABC

we have that

`tan(C=(AB)/(AC)\text{ ----> by TOA}`

substitute given values

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

The answer is the option B