The roof of a factory rises vertically 7 ft through a horizontal run of 42 ft. What is the pitch of the roof?

By definition, the pitch of a roof is its vertical rise divided (In this case is 7 feet) by its horizontal measurement, which is called "Run" (42 feet). Therefore, you can calculate the pitch of this roof (P) by applying the following steps:

P=Tan^-1 (Rise/Run) Rise=7 feet

Run=42 feet

When you substitute these values into the formula P=Tan^-1 (Rise/Run), you obtain:

P=Tan^-1 (Rise/Run)

P=Tan^-1 (7/42) P=9.46º

What is the pitch of the roof?

The answer is: The pitch of the roof is 9.46º.