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. A partner walks 215 yards due west from your position and takes a bearing on the cabin of Upper N 24.6 degrees Upper E. How far away is the cabin to the nearest​ yard?

Answer 1

Answer:

469.60 yards far away is the cabin to the nearest​ yard

Step-by-step explanation:

given data

walks = 215 yards

bearing on the cabin =  N 24.6 degrees E

solution

we know here when 2 line are parallel then opposite angle are equal

so here $\angle$ DAC =

and now we take here triangle ABC

so here we can say

tan (24.6 ) = $\frac{AB}{BC}$

so here BC will be

BC = $\frac{Ab}{tan(24.6)}$  

put here value and we get

BC = $\frac{215}{tan(24.6)}$

solve it we get

BC = 469.60 yards