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8. A banner has the shape of a right triangle with sides 6 feet, 8 feet and 10 feet and it weighs 12 lbs. (Note:the height of the triangle off

the hypotenuse is 4.8 feet.) It is hung from the roof over the side of a building with the hypotenuse at the top. Set up the integral to compute the work required to lift the banner onto the roof of the building. Evaluate the integral to find the work.

Fig: 1