1. **State the problem:**
Find the rate of change of temperature $T(h) = \frac{60}{h+2}$ with respect to height $h$ at $h=3$ km.
2. **Formula and rules:**
The rate of change of a function is its derivative. For a function $T(h) = \frac{60}{h+2}$, rewrite as $T(h) = 60(h+2)^{-1}$.
3. **Differentiate:**
$$\frac{dT}{dh} = 60 \times (-1)(h+2)^{-2} = -\frac{60}{(h+2)^2}$$
4. **Evaluate at $h=3$:**
$$\frac{dT}{dh}\bigg|_{h=3} = -\frac{60}{(3+2)^2} = -\frac{60}{25} = -2.4$$
5. **Interpretation:**
The temperature decreases at a rate of 2.4 degrees Celsius per kilometre at 3 km height.
Temperature Rate 358746
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