SOLUTION: two ships leave a harbor traveling on courses that have an angle of 120 degrees between them. if they each travel 515 miles how far apart are they (to the nearest mile)?

Question 112137: two ships leave a harbor traveling on courses that have an angle of 120 degrees between them. if they each travel 515 miles how far apart are they (to the nearest mile)?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
If they both travel 515 miles we can construc an isocoles triangle with apex of 120 deg and 2 base angles of (180-120)/2=30 deg each.
The easiest way find the base is to construct a line from the apex perpendicular to the base. It bisects the apex and forms two right triangles.
hyp=515
cos(30)=adj/515
adj=515cos(30)=446
446*2=892 mi. To find the full base we multiply times 2.
.
Ed
RELATED QUESTIONS
Two ships leave the harbor together traveling on courses that have an angle of 127... (answered by Alan3354,ankor@dixie-net.com)

Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 (answered by fcabanski)

Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 (answered by ankor@dixie-net.com)

Two ships leave a harbor at the same time, traveling on courses that have an angle of 110 (answered by jsmallt9)

Two ships leave a harbor at the same time, traveling on courses that have an angle of... (answered by Boreal)

Two ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship B (answered by ankor@dixie-net.com)

Two ships leave a harbor entrance at the same time. The first ship is traveling at a... (answered by VFBundy)

Two ships leave from the same location with an angle of 57 degrees between their path. If (answered by ankor@dixie-net.com)

Please help me. Two cars leave from the same spot at the same time, traveling on... (answered by ankor@dixie-net.com)