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 Trigonometry Trigonometry Math Forum

 June 5th, 2019, 01:34 PM #1 Member   Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0 triangle In triangle XYZ, XY=6, angle X=60, and angle Y=70. Determine the values of XZ, YZ, & angle Z. PLEASE HELP. Last edited by skipjack; June 5th, 2019 at 08:42 PM. June 5th, 2019, 01:55 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,552 Thanks: 1402 this is a simple application of the law of sines and a bit of basic geometry (what is the sum of the angles of a triangle?) I have great faith that you can obtain the answer on your own! Thanks from topsquark June 5th, 2019, 08:54 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2219 As XZ/sin(Y) = XY/sin(Z) and sin(Z) = sin(X + Y) = sin(X)cos(Y) + cos(X)sin(Y), XZ = XY sin(Y) /(sin(X)cos(Y) + cos(X)sin(Y)) = XY/(sin(X)cot(Y) + cos(X)). Tags triangle Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post randomgamernerd Geometry 1 November 16th, 2015 08:09 PM Dacu Geometry 16 September 24th, 2014 03:11 PM mared Geometry 2 June 16th, 2014 03:47 PM w0w Algebra 3 June 24th, 2013 11:59 AM 1101 Algebra 0 June 19th, 2009 10:56 PM

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