Question 663980
Hint: Draw a picture (drawing helps if you have no idea where to start)


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/10-9-20124-35-57PM.png">


Then use this picture to form the equations


{{{h/36 = x/(x+50)}}}


{{{h/36 = y/(y+40)}}}


{{{h^2 + y^2 = x^2}}}


The first two equations are proportions. The third one uses the pythagorean theorem.


From there, solve for x in the first equation. Then solve for y in the second equation. After that, plug in what you solved for into x and y in the third equation. You'll be left with an equation in terms of just one variable h.


Solve for h to find your answer.


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Edit:


Using solver91311's method, you would have this drawing


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/10-9-20124-42-53PM.png">


and you can see that h = 6