SOLUTION: Find area of trapezoid whose one base is28.6cms one of non parellel side is 20.2cms with angle45 and other base angle is 60

Algebra ->  Finance -> SOLUTION: Find area of trapezoid whose one base is28.6cms one of non parellel side is 20.2cms with angle45 and other base angle is 60      Log On


   



Question 1094392: Find area of trapezoid whose one base is28.6cms one of non parellel side is 20.2cms with angle45 and other base angle is 60
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The trapezoid would look like this:

Its surface area will be an irrational number,
and its exact expression would not look pretty,
so I hope the expected answer is an approximate value,
calculated with at most a couple of decimal places.
I would start by drawing two right triangles.
The legs of those triangles measure xcm and ycm .
For the right triangle on the left, we know that sin%2845%5Eo%29=cos%2845%5Eo%29=sqrt%282%29%2F2=x%2F20.2 .
For the right triangle on the right, we know that tan%2860%5Eo%29=sqrt%283%29=x%2Fy .
I hope that you can go on from there.
I found x=approximately14.28356cm , x=approximately8.26615cm .