Answer:
A ≈ 16.25 ft²
Explanation:
the area (A) of the triangle is calculated as
A =
ab sinC
a , b are the 2 known sides and C the angle between them
here a = 6 , b = 9 and ∠ C = 37°
substitute these values into the formula for A
A =
× 6 × 9 × sin37°
= 3 × 9 × sin37°
= 27 × sin37°
= 16.24900...
≈ 16.25 ft² ( to the nearest hundredth )