SOLUTION: Can you please solve question (b) for me? Here's the problem: Below the cloud base, the temperature T (in F) at heigh h (in feet) can be approximated by the equation T=To - (5.5

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Can you please solve question (b) for me? Here's the problem: Below the cloud base, the temperature T (in F) at heigh h (in feet) can be approximated by the equation T=To - (5.5      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 207642This question is from textbook Algebra and Trigonometry with Analytic Geometry
: Can you please solve question (b) for me? Here's the problem:
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.
I'm not sure what number to plug in for "T", but the answer is 6909 feet. Thank you for any help! :)
 This question is from textbook Algebra and Trigonometry with Analytic Geometry

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
T[0] = temperature at ground level = 70 degrees.
formula is T[0] - (5.5/1000)*h
I am presuming h is in feet since the answer you gave is 6909 feet.
-----
1 mile is 5280 feet.
-----
temperature 1 miles up should be 70 - (5.5/1000)*5280 = 40.96 degrees.
-----
since freezing is 32 degrees (fahrenheit
70 - (5.5/1000)*h = 32
solving for h we:
subtract 32 from both sides of the equation to get:
70 - 32 = 5.5/1000*h
simplifying we get:
38 = 5.5/1000*h
we multiply both sides of the equation by 1000/5.5 to get:
38*1000/5.5 = h
we simplify to get:
h = 38*1000/5.5 = 6909.090909 = 6909 rounded to the nearest integer.
-----
looks like 6909 was the right number.