SOLUTION: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24-ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth c

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24-ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth c      Log On


   

Question 331764: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24-ft 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.

Found 2 solutions by mananth, mathmandotcom:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
height 24-ft
leech length 26 ft
$10 per square foot, find
..
base b^2 = 26^2-24^2
b=sqrt 100
b=10
..
Area of right triangle = 1/2 * base * height
= 1/2 * 10*24
area = 120 square ft.
..
cost $ 10 / sq. ft
120 sq. ft cost = $1200

Answer by mathmandotcom(31) About Me  (Show Source):
You can put this solution on YOUR website!
c^2=a^2+b^2
26^2=24^2+b^2
b^2=26^2-24^2=100
so the heigth=24 the base=10 area of a triangle=1/2bh=1/2(24)(10)=120sq/ft
at a cost of $10 a sq/ft Cost=$10(120)=$1,200 answer