In the figure, DB =16, angle BAD = 13 deg and angle ABD = 22 deg. Solve for CD.

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here's the link to the figure: http://assets.openstudy.com/updates/attachments/5082b14be4b041b051b921f4-ienarancillo-1350743148487-untitled.jpg

Question

In the figure, DB =16, angle BAD = 13 deg and angle ABD = 22 deg. Solve for CD.

THANKYOU!

here's the link to the figure: http://assets.openstudy.com/updates/attachments/5082b14be4b041b051b921f4-ienarancillo-1350743148487-untitled.jpg

anonymous · Answer

is BCA a right angle
?

anonymous · Answer

@finnegl7 i don't think so. it's not drawn to scale. :)

anonymous · Answer

38 is your answer if you assume that BCA is a right angle. if not your missing some piece of info to complete the question i did sine rule to work out that the length AD = 27 and then applied cos35=x/27 to get length of CD and then added the lengths together

anonymous · Answer

thanks so much. :D

phi · Answer

fin's answer is on the right track, but I would not round (AD is not exactly 27)
and x= AD * cos(35)  where AD is about 26.6 from
$$ \frac{AD}{\sin 22} = \frac{16}{\sin 13} $$