Answer:
38.1 sq. ft
Step-by-step explanation:
angle A = 60 deg.
length a = unknown
b = 11 feet
c = 8 feet
angle B must be larger than angle C
try cos A = 8/11 ? no since cos A = 0.5 so this is not a 30-60-90 triangle
Area of triangle = (1/2)* base * height
height = ...
imagine... 8 is hypotenuse and then adjacent leg = 8*cos 60
then height = 8 * sin 60 = 8 * (root(3)/2) = 4*root(3)
Area of triangle A = (1/2)*11 feet * 4*root(3)
A =22*root(3) sq. ft. = 38.105 sq. ft = 38.1 sq. ft
