Question

If place lies at the height of 2500 meters above the sea level and its surface temperature is 20 degree celcius,estimate the temperature of place B at the height of 1500 mast ?Justify?

Answer 1

Temperature of place B is approximately
`33.33^(o)`.

Step-by-step 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
`\alpha`
`(1)/(temperatur)`

⇒ height =
`(k)/(temperatur)`

Where k is the constant of proportionality.

When the height is 2500 m and temperature is
`20^(o)`, then;

height =
`(k)/(temperatur)`

2500 =
`(k)/(20)`

k = 2500 x 20

= 50000

So that when height = 1500 m, then;

height =
`(k)/(temperatur)`

temperature =
`(k)/(height)`

=
`(50000)/(1500)`

=
`33.3333^(o)`

Temperature of place B is approximately
`33.33^(o)`.

This is justified since temperature decreases with altitude or height.