document.write( "Question 751050: an archin the form of semi ellipse is 50 ft wide at the base and its greatest height is 20ft.find its height at a distance of 10ft from the centre of the base and its width at a height of 10ft from the base? \n" ); document.write( "
Algebra.Com's Answer #456967 by lwsshak3(11628)\"\" \"About 
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an archin the form of semi ellipse is 50 ft wide at the base and its greatest height is 20ft.find its height at a distance of 10ft from the centre of the base and its width at a height of 10ft from the base?
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\n" ); document.write( "Equation of ellipse with horizontal major axis and center at (0,0)
\n" ); document.write( "\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"
\n" ); document.write( "For given problem:
\n" ); document.write( "a=25
\n" ); document.write( "a^2=625
\n" ); document.write( "b=20
\n" ); document.write( "b^2=400
\n" ); document.write( "Equation:
\n" ); document.write( "\"x%5E2%2F625%2By%5E2%2F400=1\"
\n" ); document.write( "..
\n" ); document.write( "find height 10 ft from center of base: (10,y)
\n" ); document.write( "100/625+y^2/400=1
\n" ); document.write( "y^2/400=1-100/625=0.84
\n" ); document.write( "y^2=0.84*400=336
\n" ); document.write( "y=±√336=±18.34
\n" ); document.write( "height at a distance of 10ft from the centre of the base≈18.34 ft
\n" ); document.write( "..
\n" ); document.write( "find width at height 10 ft from base (x,10)
\n" ); document.write( "x^2/625+100/400=1
\n" ); document.write( "x^2/625=1-100/400=0.75
\n" ); document.write( "x^2=0.75*625=468.75
\n" ); document.write( "x=±√468.75=±21.65
\n" ); document.write( "width at height 10 ft from base=2*21.65≈43.3 ft \n" ); document.write( "
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