Question

You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friendr walks 220 yards due west from your position and takes a bearing on the cabin of N 21.2°E. How far are you from the cabin?A. 638 yardsB. 608 yardsC. 567 yardsD. 589 yards

Answer 1

In the given right triangle

we have that

`\begin{gathered} tan(21.2^o)=(220)/(x)\text{ -----> by TOA} \\ \\ solve\text{ for x} \\ \\ x=(220)/(tan(21.2^o)) \\ \\ x=567\text{ yrads} \end{gathered}`

The answer is option C