Best Built Roofing is building a new roof on a house. The roofers use wood beams to create the shape of the roof before putting on the roofing shingles. The wood beams run diagonally from the top of the roof to the side of the house. There are also wood beams that run horizontally across the house.

The old roof, as shown below, had diagonal wood beams that were 13 feet long. The height of the roof was 5 feet.



The new roof will have the same size horizontal wood beams running across the house. However, the height of the roof will be 9 feet instead of 5 feet.

Determine the length, in feet, of one of the diagonal wood beams on the new roof. Show your work or explain how you determined your answer.

Enter your answer and your work or explanation in the box provided.