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Mathematics 8 Online
OpenStudy (anonymous):

http://puu.sh/34GTt.png

OpenStudy (anonymous):

Find BD \[\sqrt{24^{2}+ 18^{2}} = 30ft.\] Using trigonometry. we can find AD. Since BD is opposite of 60 degrees... \[\tan(\theta) = \frac{ BD }{ AD }\] \[AD = \frac{ BD }{ \tan(\theta) }\] \[\theta = 60degrees \] We know BD so you can solve for AD easily now.

OpenStudy (anonymous):

30 / tan(60°) = 17.3205081 So... AD = 17.3205081?

OpenStudy (anonymous):

yup.

OpenStudy (anonymous):

Thank you! (:

OpenStudy (anonymous):

np!

OpenStudy (anonymous):

17.32 is the required length for the fence, rounded to 17 feet if we are not using decimals here. Well first we need to find BD and this involves the Pythagoras theorem, which is A^2 + B^2 = C^2. sqrt(24^2 + 18^2) = 30ft (after simplification) Now, BD is the opposite of 60 degrees, applying tan60 divided by 30 (BD) we should get AD. Full equation: 30 / tan(60°) = 17.3205081 AD is equal to: 17.3205081 --------------------------------- That is what I put as my answer, sound good?

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