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.