Chapter 8.9, Problem 14WE

To determine

To find: the approximate altitude.

Answer to Problem 14WE

The approximate altitude is $1775$ .

Explanation of Solution

Given information:

The air density is $1.030\frac{\text{kg}}{{\text{m}}^3}$ .

Calculation: let altitude is $x$ ,

Altitude	Density
$1500$	$1.058$
$x$	$1.030$
$2000$	$1.007$

Now, the difference,

  $\begin{array}{l}\frac{c}{500}=\frac{0.028}{0.051}\\ \frac{c}{500}=0.549\text{ [divide]}\\ c\approx 275\text{ [multiply]}\end{array}$

Now, to find the value of altitude,

  $\begin{array}{l}x=1500+c\\ x=1500+275\text{ [substitute]}\\ x=1775\text{ [add]}\end{array}$

Thus, The value of altitude is $1775$ .