Question

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately how much fabric does she need for the sail? A. 70.1 square feet B. 81 square feet C. 99.2 square feet D. 140.3 square feet

Answer 1

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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