The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

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The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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What is the length of the wood that is needed to replace AD?

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Other answers:

use trigonometry take the big triangle tan 45 = AB/BC = AB/14 solve for AB
then find the length of DB in the bottom triangle tan 30 = DB/14 solve for DB
finally AD = AB-DB
How do I find out what AB and DB are tho?
tan45 = AB / 14 cross multiply:- AB = 14* tan45 grab your calculator and work it out
Thank you
yw

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