SOLUTION: A trapezoid has two 65-degree angles, and also 8-inch and 12-inch parallel sides. How long are the non-parallel sides? What is the area enclosed by this figure?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A trapezoid has two 65-degree angles, and also 8-inch and 12-inch parallel sides. How long are the non-parallel sides? What is the area enclosed by this figure?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1156823: A trapezoid has two 65-degree angles, and also 8-inch and 12-inch parallel sides. How long are the non-parallel sides? What is the area enclosed by this figure?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Draw and check the figure. This is a rectangle capped with two congruent right triangles at two opposite sides. Either triangle has short leg 2 inch, and angles 65 degree, 90 degree, and 25 degree.
x, hypotenuse, and either of the non-parallel sides of the trapezoid
2%2Fx=cos%2865%29
highlight%28x=2%2Fcos%2865%29%29