Question

PLEASE SHOW WORK!!!

15. On a map the town of Morgan Run is due south of Davidson and is south east of Vicksburg. The distance from Morgan Run to Davidson and Vicksburg are 32 and 52 miles respectively. The distance between Davidson and Vicksburg is 42 miles. If a plane leaves Morgan Run to fly to Vicksburg, on what bearing should it travel?

Answer 1

Solution:

Let point V represents Vicksburg, point D represents Davidson and point M represents Morgun run.

$\small \theta$ represents bearing of line MV.

The bearing to a point is angle measured in clockwise direction from north line.

Morgan Run is due south of Davidson. Also Morgan run is due south-east of Vicksburg.

That means angle between line DM and VM is 45 degrees,

Bearing of line MV = $\small \theta$ = $\small 360^{\circ}-45^{\circ}=315^{\circ}$

Therefore if a plane leaves Morgan Run to fly to Vicksburg, the bearing shoud be 315 degrees.

north 42 D west east 52 32 45 0 south