document.write( "Question 307824: Two building are 300ft apart. from the top of the shorter building the angle of elevation of the top of the taller building is 23 degree, and the angle of depression of the base of the taller building is 36. How tall is each building. \n" ); document.write( "

Algebra.Com's Answer #220143 by mananth(16946) $\"\"$ $\"About$

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Two building are 300ft apart. from the top of the shorter building the angle of elevation of the top of the taller building is 23 degree, and the angle of depression of the base of the taller building is 36. How tall is each building.\r
\n" ); document.write( "\n" ); document.write( "Angle of elevation of taller building from top of small building = 23 deg
\n" ); document.write( ".
\n" ); document.write( "The extra height of the taller building the distance between the two buildings
\n" ); document.write( "form a right triange with the distance of the top of the buildings
\n" ); document.write( "tan 23 = height * 300
\n" ); document.write( "300 tan 23 = height
\n" ); document.write( "300*0.4245 = height
\n" ); document.write( "127.35 = height \r
\n" ); document.write( "\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "similarly with angle of depression\r
\n" ); document.write( "\n" ); document.write( "height = tan 36 * 300\r
\n" ); document.write( "\n" ); document.write( "height = 0.7265*300
\n" ); document.write( "= 217.95 is the height of the smaller building\r
\n" ); document.write( "\n" ); document.write( "height of the taller building = 217.95 + 127.35
\n" ); document.write( "=345.30 \n" ); document.write( "

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