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November 1st, 2018, 08:35 AM   #1
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Help with High School Maths hard question

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 November 1st, 2018, 10:04 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,663 Thanks: 2642 Math Focus: Mainly analysis and algebra Do you know the cosine rule and the sine rule?
 November 1st, 2018, 11:09 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,746 Thanks: 2133 Angles15.JPG The diagram above gives the angles, so you just need to show the remaining lengths are correct. Thanks from Jeff Shreeves
 November 1st, 2018, 12:29 PM #4 Newbie   Joined: Nov 2018 From: Indianapolis Posts: 18 Thanks: 0 How did you find that you should use those angles and triangles?
November 1st, 2018, 12:53 PM   #5
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Quote:
 Originally Posted by v8archie Do you know the cosine rule and the sine rule?
yes

 November 1st, 2018, 01:04 PM #6 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,663 Thanks: 2642 Math Focus: Mainly analysis and algebra Well you can use them to find all lengths and angles in the figue. I'd start with the cosine rule on the triangle with sides $\sqrt3$ and $1$.
 November 1st, 2018, 01:10 PM #7 Newbie   Joined: Nov 2018 From: Indianapolis Posts: 18 Thanks: 0 I have done everything that I can I have done law of cosines and law of sines but I really can't find the answer could you please tell me the answer to the question.
 November 1st, 2018, 03:01 PM #8 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,663 Thanks: 2642 Math Focus: Mainly analysis and algebra What did you get?
November 2nd, 2018, 09:09 AM   #9
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Quote:
 Originally Posted by Jeff Shreeves How did you find that you should use those angles and triangles?
As the diagram was accurate, the angles could be measured directly, albeit approximately. The extra triangles were then obtained by inspection.

 November 2nd, 2018, 10:27 AM #10 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,581 Thanks: 1038 Archie TOLD you how. Added hint: after doing what Archie suggested, you'll have the hypotenuse's length; next calculate the missing leg's length (should get ~1.93164), next calculate the right triangle's angles... It is not easy to help you: your damn diagram is not labelled

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