Need help with the following problem involving the Law of Sines:
A corner of a park occupies a triangular area that faces two streets
that meet at an angle of 85 degrees.
The sides of the area facing the street are each 60 feet in length.
A landscaper wants to plant flowers around the edges of the triangular area.
Find the perimeter of the triangular area.
[The answer is 201.1 feet.]
If we must use the Law of Sines, here we go . . .
* 85° *
60 * * 60
* 47.5° 47.5° *
B * * * * * * * * * C
Triangle ABC is isoceles:
. . Hence: .
Since: . , we have: .
Law of Sines: .
. . Hence: . feet.