# Solving Oblique Triangles (I need this soon!!!!!)

• Jan 30th 2008, 04:20 PM
iheartthemusic29
Solving Oblique Triangles (I need this soon!!!!!)
1. I think the reason I can't figure this problem out is because I'm not quite sure how to draw the picture.
"A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 2500 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1100 meters and 2000 meters. Draw a diagram to represent the problem and find the bearings for the last two legs of the race."

2. "On a map, Minneapolis is 165 millimeters due west of Albany, Phoenix is 216 millimeters from Minneapolis, and Phoenix is 368 millimeters from Albany.
a). Find the bearing of Minneapolis from Phoenix."
Here's what I did:
cosA= (360^2+216^2-165^2)/(2(368)(216))
A= cos^-1(154,855/158,976)
A=13.1 degrees
Therefore, the bearing is N13.1W.
b)Find the bearing of Albany from Phoenix.
For this one, is it going to be the same degree value, but going in the opposite direction?

3. Once again, I think I am just drawing the picture incorrectly.
"On a baseball diamond with 90-foot sides, the pitcher's mound is 60.5 feet from home plate. How far is it from the pitcher's mound to third base?"

That's it. I think if someone can help get me started, I should be able to figure the rest out. I was able to do the problems that had diagrams given quite easily. It's just the ones where you have to draw the diagram yourself that gave me some trouble. I'd really appreciate some help! Thank you!
• Jan 30th 2008, 11:43 PM
Quote:

1. I think the reason I can't figure this problem out is because I'm not quite sure how to draw the picture.
"A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 2500 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1100 meters and 2000 meters. Draw a diagram to represent the problem and find the bearings for the last two legs of the race."
Attachment 4947

Quote:

2. "On a map, Minneapolis is 165 millimeters due west of Albany, Phoenix is 216 millimeters from Minneapolis, and Phoenix is 368 millimeters from Albany.
a). Find the bearing of Minneapolis from Phoenix."
Here's what I did:
cosA= (360^2+216^2-165^2)/(2(368)(216))
A= cos^-1(154,855/158,976)
A=13.1 degrees
Therefore, the bearing is N13.1W.
I too would use the cos rule for this question, but A is not the bearing of mineapolis from phoenix. Look at the diagram, and try again

Attachment 4948

Quote:

3. Once again, I think I am just drawing the picture incorrectly.
"On a baseball diamond with 90-foot sides, the pitcher's mound is 60.5 feet from home plate. How far is it from the pitcher's mound to third base?"
Attachment 4946