SOLUTION: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth co
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-> SOLUTION: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth co
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Question 238955: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth costs $10 per square foot, find the cost of a new mainsail. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Draw a diagram, it'll help you find a solution.
.
From Pythagorean theorem:
Let b = base of triangle
then
b^2 + 24^2 = 26^
b^2 + 576 = 676
b^2 = 100
b = 10 feet
.
Area of a triangle is:
(1/2)bh
= (1/2)(10)(24)
= (5)(24)
= 120 sq ft
.
Cost:
10 * 120 = $1200
