Question

maya and her father are building a tree house. The roof will have a 9:12 pitch; that is, for every 12 inches of horizontal distance, the roof rises 9 inches. how can maya determine the height of the roof at its peak?

Answer 1

Maya can determine the height of the roof at its peak by using the pitch ratio. The pitch ratio in this case is 9:12.

To calculate the height, Maya needs to determine the vertical rise for every given horizontal distance. In this case, the horizontal distance is 12 inches.

So, for every 12 inches of horizontal distance, the roof rises 9 inches.

To calculate the height, Maya can use the following equation:

Height = (Vertical rise / Horizontal distance) * Peak length

In this case, the vertical rise is 9 inches, the horizontal distance is 12 inches, and the peak length can be any desired length depending on the design of the treehouse.

So, Maya can use the equation:

Height = (9/12) * Peak length

The result will be the height of the roof at its peak.