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)![]() ![]() You can put this solution on YOUR website! The sketch below shows the two buildings as green buildings rectangles. \n" ); document.write( " \n" ); document.write( "From the right triangles below horizontal line AH (triangles AHY and AXY) we know that \n" ); document.write( " \n" ); document.write( " \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 \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 \n" ); document.write( " \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. \n" ); document.write( " \n" ); document.write( "Then, \n" ); document.write( " \n" ); document.write( "That is the exact value answer that a mathematician would give. \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "A more practical engineer, calculates the approximate value as \n" ); document.write( " \n" ); document.write( "I suspect that a high school math teacher would like |