SOLUTION: #1: A city park is rectangular in shape. The longer side of the park is 500 feet. A walkway runs diagonally through the park. The angle formed by the walkway and the shorter side o

Algebra ->  Probability-and-statistics -> SOLUTION: #1: A city park is rectangular in shape. The longer side of the park is 500 feet. A walkway runs diagonally through the park. The angle formed by the walkway and the shorter side o      Log On


   

Question 1128576: #1: A city park is rectangular in shape. The longer side of the park is 500 feet. A walkway runs diagonally through the park. The angle formed by the walkway and the shorter side of the park is 65°.
What is the perimeter of the park?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the shorter side of the park
+tan%28+65+%29+=+500%2Fx+
+2.1445+=+500%2Fx+
+x+=+500%2F2.1445+
+x+=+233.1538+
------------------------
+P+=+2%2A500+%2B+2%2A233.1538+
+P+=+1000+%2B+466.308+
+P+=+1466.308+ ft