Two ships leave a harbor together traveling on courses that

Two ships leave a harbor together traveling on courses that have an angle of 122 degree between them. If they each travel 517 miles, how far apart are they (to the nearest mile)?

Solution

distance travelled by ship 1 is 517 miles

distance travelled by ship 2 is 517 miles

angle between their paths =122^o

distance between ships =[517²+517²-2*517*517*cos122^o]

distance between ships =517[1+1-2cos122^o]

distance between ships =1034[1-cos122^o]

distance between ships =1034*1.236899

distance between ships =1278.95

shpis are 1279 miles apart