one side of triangelar lot has a length of 100 feet; the angle opposite that side is 55 degrees. another angle is 63 degrees. how much fence will be needed to enclose the lot?
You know that the angle sum for any
triangle is 180 degrees, so what is the measure of the one remaining angle?
i am having trouble figuring out which angle goes where and if i should use Cos or Tan
When you have the angles and the length of the side opposite one of those angles, it's usually a safe bet that you'll need to use the Law of Sines
The actual placement, in your drawing, of the various angle measures is irrelevant. Just draw a triangle, label the angles with their measures, and label the one side with the given length. Then work from the picture to set up your ratios, and solve for the lengths of the other two sides. The sum of their lengths is the amount of fencing needed.
Hope that helps!