Finding the State Capital by Location Details

The question asks us to identify a specific state capital of India based on its geographical location, which includes its altitude above sea level, its longitude (East), and its latitude (North).

The given location details are:

• Altitude: approximately 530 metres above sea level
• Longitude: approximately 93° East
• Latitude: approximately 27° North

We need to examine the provided options and see which state capital best fits these criteria.

Analyzing the Options for State Capital Location

Let's look at the approximate geographical locations of the given state capitals:

Identifying the Correct State Capital

Comparing the geographical coordinates and altitude from the options with the details given in the question:

• Hyderabad: Located around $\text{17.4}^\circ\text{ N, 78.5}^\circ\text{ E}$ at an altitude of about $\text{542 m}$. The altitude is close to $\text{530 m}$, but the latitude and longitude are significantly different from $\text{27}^\circ\text{ N}$ and $\text{93}^\circ\text{ E}$.
• Dispur: Located around $\text{26.1}^\circ\text{ N, 91.7}^\circ\text{ E}$ at an altitude of about $\text{53 m}$. The altitude is much lower than $\text{530 m}$, and the latitude and longitude do not match the required $\text{27}^\circ\text{ N}$ and $\text{93}^\circ\text{ E}$.
• Itanagar: Located around $\text{27.1}^\circ\text{ N, 93.6}^\circ\text{ E}$. The altitude is generally reported in the range of $\text{530 m}$ to $\text{700 m}$, depending on the specific area within the city. These coordinates ($\text{27.1}^\circ\text{ N, 93.6}^\circ\text{ E}$) are very close to the specified $\text{27}^\circ\text{ N}$ and $\text{93}^\circ\text{ E}$, and the altitude range includes $\text{530 m}$.
• Patna: Located around $\text{25.6}^\circ\text{ N, 85.1}^\circ\text{ E}$ at an altitude of about $\text{53 m}$. Like Dispur, the altitude is much lower than $\text{530 m}$, and the coordinates are different.

Based on this comparison, Itanagar, the capital of Arunachal Pradesh, is the state capital that is located closest to the specified latitude, longitude, and altitude.

Revision Table: Key Geographic Concepts

Additional Information on State Capitals and Geography

Understanding latitude, longitude, and altitude is fundamental to locating places on Earth. Every point on the Earth's surface can be defined by a unique set of coordinates. State capitals, being important administrative centers, often have their precise locations documented.

• Latitude lines run east-west, parallel to the Equator ($\text{0}^\circ$). The North Pole is $\text{90}^\circ\text{ N}$, and the South Pole is $\text{90}^\circ\text{ S}$.
• Longitude lines run north-south, from pole to pole. The Prime Meridian ($\text{0}^\circ$) passes through Greenwich, London. Longitude ranges from $\text{0}^\circ$ to $\text{180}^\circ\text{ East}$ and $\text{0}^\circ$ to $\text{180}^\circ\text{ West}$.
• Altitude helps describe the height or elevation of a location relative to mean sea level.

Itanagar is a prominent city in Northeast India and serves as the capital of the state of Arunachal Pradesh.