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lesya [120]
3 years ago
7

For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

Mathematics
1 answer:
Verizon [17]3 years ago
4 0

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

a=-\frac{2000}{7}*(-355)

a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

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