Question

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

Answer 1

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.

Answer 2

The angle or pitch between the vertical run and horizontal run is approximately 9.1 degrees.

Data;

• Horizontal run = 42ft
• Vertical rise = 7ft
• pitch?

The Pitch

This is the inverse of the tangent between the horizontal distance to the vertical distance.

This can easily be calculated using trigonometric ratio SOHCAHTOA

Taking the tangent of the angle;

$tan\theta = 7/42\\\\tan\theta = 0.16\\\theta = tan^-^1(0.16)\\\theta =9.09^0\\\theta = 9.1^0$

The angle or pitch between the vertical run and horizontal run is approximately 9.1 degrees.

Learn more on trigonometric ratios here;

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