Answer:
w = 33.94 ft
Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.
Thus:
[tex] w^2 = 24^2 + 24^2 [/tex]
[tex] w^2 = 1,152 [/tex]
Square both sides
[tex] \sqrt{w^2} = \sqrt{1,152} [/tex]
[tex] w = 33.94 [/tex] (to 2 decimal places)
The width of the house = 33.94 ft
