document.write( "Question 894562: In traveling across a flat ground, you notice a building directly in front of you. Its angle of elevation (to the peak) is 79.63 degrees. After you walk 24 meters closer to the building, the angle of elevation is 83.74 degrees. Find the height of the building. \n" ); document.write( "

Algebra.Com's Answer #542160 by josgarithmetic(39617) $\"\"$ $\"About$

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You may draw a figure of two triangles sharing a side y, a vertical length of the building. from bottom of y, x to the right is the angle of elevation 83.74; and continuing 24 more to the right, that point is at the angle of elevation 79.63.\r
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\n" ); document.write( "\n" ); document.write( "This figure as described (and labeled) will give you these two equations.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28y%2Fx=tan%2883.74%29%29\"$ and $\"highlight_green%28y%2F%28x%2B24%29=tan%2879.63%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Solve each of these for x, and then equate the two expressions; so that you have one equation in the single variable, y. Now you can just solve for y, the height of the building. \n" ); document.write( "

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