Answer:
124.1 feet
Step-by-step explanation:
An isosceles triangle is one which has two equal sides and two equal angles.
Area of triangle = [tex]\frac{1}{2}[/tex]ab SinC
where a and b are the sides, and C is the given included angle.
From the given question, a = b = 18 feet and C = 50°.
Then,
Area of this part of the roof = [tex]\frac{1}{2}[/tex] x 18 x 18 x Sin 50°
= [tex]\frac{1}{2}[/tex] x 18 x 18 x 0.7660
= 162 x 0.7660
= 124.092
The area of this part of the roof is 124.1 feet.