Nanga parbat=8100m. Himadri=6000m. Mount everest=9000m. Nanda devi=7500m. Kanchenjunga=8000m. Find the ratio of the height of the lowest and highest peaks and write down the measurement of the heights of the peaks in the ascending order
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Step 1: Identify the heights of all peaks.
Nanga Parbat: $8100 \text{ m}$
Himadri: $6000 \text{ m}$
Mount Everest: $9000 \text{ m}$
Nanda Devi: $7500 \text{ m}$
Kanchenjunga: $8000 \text{ m}$
Step 2: Find the lowest and highest peaks.
The lowest height is $6000 \text{ m}$ (Himadri).
The highest height is $9000 \text{ m}$ (Mount Everest).
Step 3: Calculate the ratio of the height of the lowest and highest peaks.
$$ \text{Ratio} = \frac{\text{Lowest height}}{\text{Highest height}} = \frac{6000 \text{ m}}{9000 \text{ m}} $$
$$ \text{Ratio} = \frac{6}{9} = \frac{2}{3} $$
The ratio is $\boxed{2:3}$.
Step 4: Write down the measurement of the heights of the peaks in ascending order.
The heights in ascending order are:
$6000 \text{ m}$ (Himadri), $7500 \text{ m}$ (Nanda Devi), $8000 \text{ m}$ (Kanchenjunga), $8100 \text{ m}$ (Nanga Parbat), $9000 \text{ m}$ (Mount Everest).
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