November 1st, 2018, 09:35 AM  #1 
Newbie Joined: Nov 2018 From: Indianapolis Posts: 9 Thanks: 0  Help with High School Maths hard question
Please help!

November 1st, 2018, 11:04 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra 
Do you know the cosine rule and the sine rule?

November 1st, 2018, 12:09 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,878 Thanks: 1834  Angles15.JPG The diagram above gives the angles, so you just need to show the remaining lengths are correct. 
November 1st, 2018, 01:29 PM  #4 
Newbie Joined: Nov 2018 From: Indianapolis Posts: 9 Thanks: 0 
How did you find that you should use those angles and triangles?

November 1st, 2018, 01:53 PM  #5 
Newbie Joined: Nov 2018 From: Indianapolis Posts: 9 Thanks: 0  
November 1st, 2018, 02:04 PM  #6 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 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, 02:10 PM  #7 
Newbie Joined: Nov 2018 From: Indianapolis Posts: 9 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, 04:01 PM  #8 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra 
What did you get?

November 2nd, 2018, 10:09 AM  #9 
Global Moderator Joined: Dec 2006 Posts: 19,878 Thanks: 1834  
November 2nd, 2018, 11:27 AM  #10 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,468 Thanks: 949 
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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