Respuesta :

The pitch of a roof is 20 feet.

Step-by-step explanation:

Given :- height and base of a roof are 12 feet and 16 feet

To Find :- pitch of a roof

Solution :- Let the pitch of roof be x feet

Now, by using pythagoras theorem

h² = b² + p²

(x)² = (16)² + (12)²

x² = 256 + 144

x² = 400

x = √400

x = 20

so, x = 20 feet

Hence , the pitch of a roof is 20 feet