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Answer :
Answer:
Temperature of place B is approximately [tex]33.33^{o}[/tex].
Explanation:
With respect to the earth, temperature decreases with height or altitude. This implies that there is an inverse relationship between altitude/ height and temperature.
Then;
height [tex]\alpha[/tex] [tex]\frac{1}{temperatur}[/tex]
⇒ height = [tex]\frac{k}{temperatur}[/tex]
Where k is the constant of proportionality.
When the height is 2500 m and temperature is [tex]20^{o}[/tex], then;
height = [tex]\frac{k}{temperatur}[/tex]
2500 = [tex]\frac{k}{20}[/tex]
k = 2500 x 20
= 50000
So that when height = 1500 m, then;
height = [tex]\frac{k}{temperatur}[/tex]
temperature = [tex]\frac{k}{height}[/tex]
= [tex]\frac{50000}{1500}[/tex]
= [tex]33.3333^{o}[/tex]
Temperature of place B is approximately [tex]33.33^{o}[/tex].
This is justified since temperature decreases with altitude or height.
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