SOLUTION: You are fertilizing a triangular garden. One side of the garden is 58 feet long, and the other side is 46 feet long. The angle opposite of the 58 foot side is 63degrees. What is th

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: You are fertilizing a triangular garden. One side of the garden is 58 feet long, and the other side is 46 feet long. The angle opposite of the 58 foot side is 63degrees. What is th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 874792: You are fertilizing a triangular garden. One side of the garden is 58 feet long, and the other side is 46 feet long. The angle opposite of the 58 foot side is 63degrees. What is the perimeter of the garden?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing a picture is not easy to do using the system for this one; but follow this:

Triangle. AB is 58; BC is 46. CA is unknown side. Angle measure at C is 63 degrees. Use law of sines twice.

sin%2863%29%2F58=sin%28A%29%2F46
sin%28A%29=%2846%2F58%29sin%2863%29
Angle B, 180-63-arcsin%28%2846%2F58%29sin%2863%29%29
Angle B, highlight_green%28117-arcsin%28%2823%2F27%29sin%2863%29%29%29
-
sin%28B%29%2FAC=sin%2863%29%2F58
AC%2Fsin%28B%29=58%2Fsin%2863%29
highlight%28AC=58sin%28B%29%2Fsin%2863%29%29, and you would want to fully evaluate angle B first.

Knowing AB=58 and BC=46, and now knowing AC, you can find the perimeter, their sum.