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

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

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 ) =
`(AB)/(BC)`

so here BC will be

BC =
`(Ab)/(tan(24.6))`

put here value and we get

BC =
`(215)/(tan(24.6))`

solve it we get

BC = 469.60 yards