Geometry: desperately need of help!

Diego works for the renegade circus company in their tent safety operations department. After a recent inspection of the inside of their circus tent it was determined that the tie down ropes that support 17 foot tall tent poles were frail and needed to be replaced. Renegade Circus Company policy requires that these tie down ropes be anchored from the top of the poles to a point on the ground. Additionally it is required that the angle that the rope makes can with the ground must be between 40 degrees and 55 degrees. What is the shortest length of replacem

Question

Geometry: desperately need of help!

Diego works for the renegade circus company in their tent safety operations department. After a recent inspection of the inside of their circus tent it was determined that the tie down ropes that support 17 foot tall tent poles were frail and needed to be replaced. Renegade Circus Company policy requires that these tie down ropes be anchored from the top of the poles to a point on the ground. Additionally it is required that the angle that the rope makes can with the ground must be between 40 degrees and 55 degrees. What is the shortest length of replacem