### Home > INT3 > Chapter Ch7 > Lesson 7.2.5 > Problem7-114

7-114.
1. Coach Haverty is setting up a tetherball court on the school playground so that the ball can only swing out 60º from the pole. As Coach Haverty looks from the school playground at the pole, there is a fence to the left of the pole and a sidewalk to the right of the pole. Coach Haverty wants to ensure that no one will get hurt while playing tetherball, so he wants the rope to only extend 5 feet out from the pole as measured along the ground. Homework Help ✎

1. Draw a diagram of this situation.

2. What is the maximum length of rope that Coach Haverty can use? State what tools you used to solve this problem.

$\text{cos}(30^\circ) = \frac{ 5 }{x}$

$x = \frac{ 5 }{\text{cos}(30^\circ) }$

x ≈ 5.8 feet