Practical Geography

On a topographical map drawn to a scale of $1 : 50,000$, the straight-line distance between Town X and Town Y is measured as $8\text{ cm}$. What is the actual ground distance between the two towns in kilometers?

On a topographical map drawn to a scale of $1 : 50,000$, the straight-line distance between two settlements is measured as $14\text{ cm}$. What is the actual ground distance between the two settlements in kilometers?

A regional planning map with a statement scale of $2\text{ cm to } 5\text{ km}$ is enlarged so that its linear dimensions are increased by a factor of $2.5$. If the distance between two agricultural centers on the enlarged map measures $16\text{ cm}$, what is the actual ground distance between them?

On a topographical map with a Representative Fraction (RF) of $1 : 50,000$, a straight coastline segment between two coastal lighthouses measures $14.4\text{ cm}$. What is the actual ground distance between the two lighthouses in kilometers?

A surveyor measures a straight stretch of road between two agricultural settlements on a topographical map drawn to a scale of $1 : 75,000$. If the distance between the two settlements on the map is $16\text{ cm}$, what is the actual ground distance in kilometers?

A map drawn at a scale of $1 : 50,000$ is enlarged to twice its original linear dimensions. Calculate the denominator of the new Representative Fraction (R.F.) scale.

A topographical map with a Representative Fraction (RF) of $1 : 100,000$ undergoes map reduction such that its new surface area is $\frac{1}{4}$ of the original map area. If the straight-line distance between two towns measured on the reduced map is $15\text{ cm}$, what is the actual ground distance between the two towns in kilometers?

On a topographical map drawn to a scale of $1 : 40,000$, the measured length of a railway line is $17.5\text{ cm}$. If the map is enlarged so that a statement scale of $1\text{ cm to } 250\text{ m}$ applies, what is the length of the railway line on the new enlarged map, in centimeters?

A proposed power transmission line measures $14.4\text{ cm}$ on Map X, which is drawn to a Representative Fraction (RF) scale of $1 : 250,000$. The same power line is subsequently transferred to Map Y, where its total path is measured across two contiguous sections: a straight stretch of $8.0\text{ cm}$ and a curved section of $10.0\text{ cm}$. What is the denominator of the Representative Fraction (RF) scale of Map Y?

A proposed pipeline route between two water reservoirs measures $18\text{ cm}$ on a regional map drawn to a statement scale of $5\text{ cm to } 2\text{ km}$. If this map is reduced to a Representative Fraction (RF) scale of $1 : 100,000$, what will be the length of the pipeline route on the reduced map?

On a topographical map with a scale of $1:50,000$, Point X is situated on a contour line marked $350\text{ m}$ and Point Y is situated on a contour line marked $500\text{ m}$. If the measured distance between Point X and Point Y on the map is $6\text{ cm}$, what is the gradient of the slope between Point X and Point Y?

On a topographical map, a series of V-shaped contour lines have their apexes (pointed ends) pointing towards higher elevation. Which of the following relief features is represented by this contour pattern?

A topographical map with a scale of $1 : 100,000$ depicts a reservoir that covers an area of $16\text{ cm}^2$ on the map. If the map is reduced to a new scale of $1 : 250,000$, what is the area of the reservoir on the new reduced map in square centimeters ($\text{cm}^2$)?

On a topographical map drawn to a scale of $1:100,000$, a hill summit is marked with a spot height of $520\text{ m}$. The terrain features uniform contour intervals of $20\text{ m}$. Point $X$ is located on the fifth contour line directly below the summit. Point $Y$ is situated at a lower elevation such that the vertical difference in height between Point $X$ and Point $Y$ is $240\text{ m}$. If the straight-line distance measured between Point $X$ and Point $Y$ on the map is $6\text{ cm}$, calculate the average gradient between Point $X$ and Point $Y$ expressed in the ratio $1 : n$. What is the value of $n$?

A topographic cross-section is constructed from a map with a horizontal scale of $1 : 50{}000$. If the vertical scale of the cross-section is set at $1\text{ cm}$ to represent $100\text{ m}$, what is the vertical exaggeration of the cross-section?

On a topographical map drawn to a scale of $1:25,000$, a road ascends continuously from Point P at a contour elevation of $180\text{ m}$ to Point Q at a contour elevation of $430\text{ m}$. If the average gradient along this section of the road is $1\text{ in } 20$, what is the distance between Point P and Point Q on the map in centimeters?

A morphometric quantitative analysis of a river basin using Strahler's stream ordering method yields the following stream segment counts:
- $N_1$ (1st-order streams) = $40$
- $N_2$ (2nd-order streams) = $10$
- $N_3$ (3rd-order streams) = $4$
- $N_4$ (4th-order streams) = $1$

Based on these morphometric data, what is the mean bifurcation ratio ($R_b$) of this drainage basin?

Match each topographical contour line pattern with the correct relief feature or slope characteristic it depicts on a map.

On a topographical map, Point X is situated at an elevation of $200\text{ m}$ and Point Y is situated at an elevation of $500\text{ m}$. If the horizontal ground distance between the two points is $6\text{ km}$, what is the gradient of the slope from Point X to Point Y expressed as a ratio?

A topographic map with an original scale of $1 : 50,000$ is reduced to half its linear size. On the reduced map, the measured distance between Point X (elevation $750\text{ m}$) and Point Y along a slope is $5.0\text{ cm}$. If Point Y lies $8$ contour intervals below Point X on a map with a contour interval of $25\text{ m}$, what is the gradient between Point X and Point Y expressed as a ratio?