Question

An aircraft flies due north from airport X toY and then flies due west to Z. If Y is equidistant from X and Z, calculate the bearingof X from z

Answer 1

Explanation

We are required to determine the bearing of X from Z from theh given information.

This is achieved thus:

From the diagrammatic representation, let d km represent the equal distance from Y to X and from Y to Z.

According to angle Z, we have:

`\begin{gathered} \tan\theta=(opposite)/(adjacent) \\ \tan Z=(d)/(d) \\ tanZ=1 \\ Z=\tan^(-1)(1) \\ Z=45\degree \end{gathered}`

Therefore, the bearing of X from Z is:

`\begin{gathered} Bearing=90\degree+45\degree \\ Bearing=135\degree \end{gathered}`

Hence, the answer is:

`135\degree`