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Finding the Base of a Trapezoid

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Author: Annie Fetter
Description: teacher support active problem Geometry, difficulty level 3. Given trapezoid ABCD, with AD one base and BC the other and a 60 degree angle at CDA. If CD is 26sqrt3/3 meters, BC is 7 meters, and the area of the trapezoid is 130 square meters, what's the length of AD?
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Problem page: http://mathforum.org/librarypow/puzzles/index2.ehtml?puzzle=1455
Solution page: Problem #1455

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