document.write( "Question 468155: Please help me find the length of the base and diagonal for 2 handicap ramps with known heights of 3.5\" and 8\" and a max slope of only 10 degrees. I tried using .5 feet to work out the algebra in the geometric equation. I believe I need to use the following:
\n" ); document.write( "\"+b+=+.5%28cot+10%29+\"
\n" ); document.write( "is that translated corectly to
\n" ); document.write( "\"+b+=+.5%2810%28b%2F.5%29%29+=+2.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+d+=+.5%2F%28sin+10%29+\"
\n" ); document.write( "to
\n" ); document.write( "\"+d+=+.5%2F%2810%28.5%2Fd%29%29+\"
\n" ); document.write( "= ???
\n" ); document.write( "ok, that is where I got lost.
\n" ); document.write( "Honestly this is not Homework, but Housework. Trying to build ramps that my 80 year old mother can use to access the levels in her home in a wheel chair.
\n" ); document.write( "Thank you for your help
\n" ); document.write( "Lynnette
\n" ); document.write( "lynnettemcarter@yahoo.com
\n" ); document.write( "

Algebra.Com's Answer #321236 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Please help me find the length of the base and diagonal for 2 handicap ramps with known hights of 3.5\" and 8\" and a max slope of only 10 degrees.
\n" ); document.write( "----
\n" ); document.write( "The 3.5\" rise.
\n" ); document.write( "------------------
\n" ); document.write( "Draw the picture.
\n" ); document.write( "You have a right triangle with
\n" ); document.write( "rise angle of 10 degrees and side
\n" ); document.write( "opposite the 10 degrees = (3/5)/12 = (3/5)(1/12) = 1/20 ft.
\n" ); document.write( "-----------------------
\n" ); document.write( "To find the length of the hypotenuse (ramp) use:
\n" ); document.write( "sin(10 degrees) = (1/20)/ramp
\n" ); document.write( "---
\n" ); document.write( "ramp = (1/20)/sin(10 degrees)
\n" ); document.write( "---
\n" ); document.write( "ramp = 0.2879 ft
\n" ); document.write( "====================
\n" ); document.write( "The 8\" rise.
\n" ); document.write( "Draw the picture.
\n" ); document.write( "sin(10 degrees) = (8/12)/ramp
\n" ); document.write( "ramp = (2/3)/sin(10 degrees)
\n" ); document.write( "ramp = 3.84 ft
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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