document.write( "Question 810620: An observer on the roof of building A measures a 26° angle of depression between the horizontal and the base of building B. The angle of elevation from the same point to the roof of the second building is 41.34°. What is the height of building B if the height of building A is 150 ft? Assume buildings A and B are on the same horizontal plane. (Round your answer to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #488371 by KMST(5328)\"\" \"About 
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The sketch below shows the two buildings as green buildings rectangles.
\n" ); document.write( " \"AX=150\"\"ft\"
\n" ); document.write( "From the right triangles below horizontal line AH (triangles AHY and AXY) we know that
\n" ); document.write( "\"150\"\"ft=AX=HY=XY%2Atan%2826%5Eo%29\" --> \"AH=XY=150ft%2Ftan%2826%5Eo%29\"
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\n" ); document.write( "If we want to solve the problem in 3 steps,
\n" ); document.write( "with that we can calculate an approximate value for \"AH=XY\"= approximately \"307.55ft\" ,
\n" ); document.write( "and then we use that value and right triangle ABH to find the distance BH,
\n" ); document.write( "which we add to \"HY=AX=150\"\"ft\" to find \"BY\" , the height of the tall building.
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\n" ); document.write( "If we want to be fancy, and do all of the calculations in one fancy formula,
\n" ); document.write( "we keep working with variables on right triangle ABH.
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\n" ); document.write( "Then,
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\n" ); document.write( "That is the exact value answer that a mathematician would give.
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\n" ); document.write( "A physics professor would tell you to consider the uncertainty in the measurements
\n" ); document.write( "(of the height of the shorter building, and the angles),
\n" ); document.write( "and may give an answer such as \"421ft+%2B-+2ft\" .
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\n" ); document.write( "A more practical engineer, calculates the approximate value as
\n" ); document.write( "\"BY=420.757ft\" or more likely \"highlight%28421ft%29\" .
\n" ); document.write( "I suspect that a high school math teacher would like \"highlight%28421ft%29\" as an answer too.
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