document.write( "Question 723551: Please help!!!\r
\n" ); document.write( "\n" ); document.write( "From a point on the floor the angle of elevation to the top of a door is 51°, while the angle of elevation to the ceiling above the door is 59°. If the ceiling is 8.7 feet above the floor, what is the vertical dimension of the door (see the figure below)? (Round your answer to one decimal place.)
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Algebra.Com's Answer #443215 by mananth(16946)\"\" \"About 
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let height of door be x\r
\n" ); document.write( "\n" ); document.write( "the ground distance is same for both=y\r
\n" ); document.write( "\n" ); document.write( "For door\r
\n" ); document.write( "\n" ); document.write( "Tan 51 = x/y\r
\n" ); document.write( "\n" ); document.write( "y=x/tan 51\r
\n" ); document.write( "\n" ); document.write( "Similarly y= 8.7/tan 59\r
\n" ); document.write( "\n" ); document.write( "x/tan 51 = 8.7/tan 59\r
\n" ); document.write( "\n" ); document.write( "x= tan 51 * 8.7/ tan 59\r
\n" ); document.write( "\n" ); document.write( "put the values you get the height of door
\n" ); document.write( "x= 1,23 *8.7/1.66\r
\n" ); document.write( "\n" ); document.write( "x= 6.45 feet\r
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