Question

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

vicksburg 42 Davidson The distances from morgan pun to Davidson - 32 miles S2 32 and Morgan Mor gan Run in run to vicksburg =82 miles Davidson to vicksburg = 42 miles To fånd value of a we use laws of cosines 42²= 82²*32²_2(82) (32) cosa casa = 52²+32²-422 2182) (32) los I a 2704+ 1024-1764 3328 losaa 1964 3328 o.59014 x = Los" (0.59014) be - 53.83° Bearing N $3.83°W