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March 28th, 2013, 04:01 AM  #1 
Member Joined: Nov 2012 Posts: 61 Thanks: 0  Height of the tower
The angles of elevation of the top of a tower from two points distant "s" and "t" from its foot are complementary. Prove that the height of the tower is. 
March 28th, 2013, 04:54 AM  #2 
Senior Member Joined: Feb 2013 Posts: 281 Thanks: 0  Re: Height of the tower
You have two rightangled triangles. One side is mutual, the height (h) of the tower. The other side is s and t. The connection between the two perpendicular sides is h/s = tan(alpha) in one triangle and h/t = tan(90alpha). Try to finish the proof.

March 28th, 2013, 04:59 AM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond  Re: Height of the tower
Let h be the height of the tower. 
March 28th, 2013, 05:20 AM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Height of the tower Hello, rakmo! Quote:
Code: o P * * * *a * *  h * *  * a * b  ooo Q R t S :    s    :  

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