Hello, Garrett!

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.] Code:

A
*
* *
* 85° *
60 * * 60
* *
* *
* *
* 47.5° 47.5° *
B * * * * * * * * * C
x

If we __must__ use the Law of Sines, here we go . . .

Triangle ABC is isoceles:

. . Hence: .

Since: . , we have: .

Law of Sines: .

. . Hence: . feet.

Therefore: .