Question

A mountain climber ascends on a trail that starts at an elevation of 8500 ft and ends at an elevation of 17,750 Ft. The temperature changes by -4.8 Fahrenheit every 1000 ft Gaines in the elevation. what is the change in the temperature from the start to the end of the trail.

Answer 1

Given data:

The initial height is h=8500 ft.

The final height is H=17,750 ft.

The expression for the change in temperature for every 1000 ft is,

1000 ft=-4.8 F

1 ft= -(4.8 F)/1000...........(1)

The change in height is,

H-h=17,750-8500

=9250 ft

Multiply the equation(1) with 9250 on both sides.

`\begin{gathered} 9250(1\text{ ft)=}(9250)/(1000)(-4.8\text{ F)} \\ =-44.4\text{ F} \end{gathered}`

Thus, the change in temperature for the given height is -44.4 F.