document.write( "Question 207642This question is from textbook Algebra and Trigonometry with Analytic Geometry
\n" ); document.write( ": Can you please solve question (b) for me? Here's the problem:\r
\n" ); document.write( "\n" ); document.write( "Below the cloud base, the temperature T (in F) at heigh h (in feet) can be approximated by the equation T=To - (5.5/1000)h, where To is the temperature at ground level. (a) Determine the air temperature at a height of 1 mile if the ground temperature is 70 degrees F. (b) At what altitude is the temperature freezing. \r
\n" ); document.write( "\n" ); document.write( "I'm not sure what number to plug in for \"T\", but the answer is 6909 feet. Thank you for any help! :)
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Algebra.Com's Answer #157044 by Theo(13342)\"\" \"About 
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T[0] = temperature at ground level = 70 degrees.
\n" ); document.write( "formula is T[0] - (5.5/1000)*h
\n" ); document.write( "I am presuming h is in feet since the answer you gave is 6909 feet.
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\n" ); document.write( "1 mile is 5280 feet.
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\n" ); document.write( "temperature 1 miles up should be 70 - (5.5/1000)*5280 = 40.96 degrees.
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\n" ); document.write( "since freezing is 32 degrees (fahrenheit
\n" ); document.write( "70 - (5.5/1000)*h = 32
\n" ); document.write( "solving for h we:
\n" ); document.write( "subtract 32 from both sides of the equation to get:
\n" ); document.write( "70 - 32 = 5.5/1000*h
\n" ); document.write( "simplifying we get:
\n" ); document.write( "38 = 5.5/1000*h
\n" ); document.write( "we multiply both sides of the equation by 1000/5.5 to get:
\n" ); document.write( "38*1000/5.5 = h
\n" ); document.write( "we simplify to get:
\n" ); document.write( "h = 38*1000/5.5 = 6909.090909 = 6909 rounded to the nearest integer.
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\n" ); document.write( "looks like 6909 was the right number.
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