Answer: Area = 498.8 ft^2
Explanation:
One of the segments of the kite forms a triangle.
Using a trigonometry ratio to find the base, tan 30 = opposite/ adjacent
Where opposite = 12 feet
Substitute opposite to find adjacent base.
Tan 30 = 12/base
Base = 12/tan 30
Base = 20.78 feet.
Area of a triangle = 1/2bh
Where the b = opposite = 12 feet
h = base = 20.78 feet
Substitute b and h into the formula
Area = 1/2 × 12 × 20.78
Area = 124.71 square feet.
There are 4 triangular shapes in the figure. Multiply the area by 4. That is,
124.71 × 4 = 498.9 square feet.
Therefore, the area of the shape is 498.9 ft^2