Question

1. The Parks Department wants to put a sidewalk diagonally across a rectangular park. The length of the park is 2 square root of 3 miles.

Answer 1

a. What is the width of the park?
b. What will the length of the sidewalk be?

Answer 2

a. use trigonometry to find the width

\[\tan(30) = x/2\sqrt{3}\]

then solve for x

b. use the answer from a with the length given then its pythagoras' theorem