Question

for altitudes up to 36,000 feet the relationship between ground temperature and Atmospheric temperature can be described by the formula t -0.0035a+g, in which t is the atmospheric temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the atmospheric temperature is -65.5°F and the ground temperature is 57°F, what is the altitude?

Answer 1

t=-0.0035a + g

-65.5 = - 0.0035a + 57
-57 = - 0.0035a

-122.5 = 0.0035a

-122.5/0.0035 = a

a = 35,000