document.write( "Question 932071: dave is trying to measure the height of a pine tree in baguio. at a certain point on the same level ground as the base of the tree, he finds that the angle of elevation to the top of the tree is 48degree. Moving to a point 17ft farther, the angle of elevation becomes 36degree. find the height of the tree..\r
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Algebra.Com's Answer #565970 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
Draw right triangle and mark a point 17ft farther from the tree \"b\",the height of the tree \"h\", angle off \"36\"° between horizontal line and sloping line mark with \"theta\".\r
\n" ); document.write( "\n" ); document.write( "Then: \r
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\n" ); document.write( "\n" ); document.write( "the angle of elevation to the top of the tree was \"48\"°. Moving to a point \"17ft\" farther, the angle of elevation becomes \"36\"°.
\n" ); document.write( "\"h=height\"\r
\n" ); document.write( "\n" ); document.write( "\"h=hight\"\r
\n" ); document.write( "\n" ); document.write( "\"b=base=xft\"\r
\n" ); document.write( "\n" ); document.write( "\"%28theta%29=48\"°\r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29=h%2Fx\"\r
\n" ); document.write( "\n" ); document.write( "\"x=h%2Ftan%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=h%2Ftan%2848%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=h%2F1.1106\"\r
\n" ); document.write( "\n" ); document.write( "\"h=1.1106x\"...........eq.1\r
\n" ); document.write( "\n" ); document.write( "Moving to a point \"17ft\" farther, the angle of elevation becomes \"36\",° so we have: \r
\n" ); document.write( "\n" ); document.write( "\"b=base=xft%2B17ft\"\r
\n" ); document.write( "\n" ); document.write( "\"%28theta%29=36\"°\r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29=h%2F%28x%2B17ft%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=%28x%2B17ft%29tan%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=x%2Atan%2836%29%2B17ft%2Atan%2836%29\" \r
\n" ); document.write( "\n" ); document.write( "\"h=0.72654x%2B17ft%2A0.72654\"\r
\n" ); document.write( "\n" ); document.write( "\"h=0.72654x%2B12.35118ft\"...........eq.2....\r
\n" ); document.write( "\n" ); document.write( "the left sides of eq.1=eq.2, so we have\r
\n" ); document.write( "\n" ); document.write( "\"1.1106x=0.72654x%2B12.35118ft\"...........solve for \"h\"\r
\n" ); document.write( "\n" ); document.write( "\"1.1106x-0.72654x=12.35118ft\"\r
\n" ); document.write( "\n" ); document.write( "\"0.38406x=12.35118ft\"\r
\n" ); document.write( "\n" ); document.write( "\"x=12.35118ft%2F0.38406\"\r
\n" ); document.write( "\n" ); document.write( "\"x=32.16ft\"\r
\n" ); document.write( "\n" ); document.write( "=> \"b=base=xft%2B17ft\"=> \"b=32.16ft%2B17ft=49ft\"\r
\n" ); document.write( "\n" ); document.write( "\"h=49.16ft%2Atan%2836%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=49.16ft%2A0.38406\"\r
\n" ); document.write( "\n" ); document.write( "\"h=18.88ft\" -the height of the tree\r
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