70.1 ft² of fabric is needed by Lacy to make the sail boat.
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let b represent the base of the triangle and h the height, hence:
sin(60) = h / 18
h = 15.6 feet
sin(30) = b / 18
b = 9 feet
The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²
70.1 ft² of fabric is needed by Lacy to make the sail boat.
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