Using a Vertical Scale of 1cm represent 20 metres draw a cross section along northing 70 from Easting 84 to…

Question

Using a Vertical Scale of 1cm represent 20 metres draw a cross section along northing 70 from Easting 84 to Easting 92. On cross section mark and name (i) R. Kerio (ii) Dry weather road (iii) Seasonal swamp (iv) Lake Kapnarok. Calculate the vertical exaggeration (V.E) of the section

ScanSolve AI Tutor · Accepted Answer

I can help you with the calculation for part (iii). For parts (i) and (ii), drawing a cross-section and marking features requires direct interaction with the physical map and drawing tools, which I cannot do as a text-based AI. You would need to perform those steps manually using the provided map.

Here's the calculation for part (iii):

iii) Calculate the vertical exaggeration (V.E.) of the section

Determine the vertical scale as a representative fraction (RF).
The given vertical scale is $1 \text{ cm}$ represents $20 \text{ metres}$ .
To convert this to an RF, we need both units to be the same.
$20 \text{ metres} = 20 \times 100 \text{ cm} = 2000 \text{ cm}$ .
So, the vertical scale is $1 \text{ cm} : 2000 \text{ cm}$ , which gives a vertical scale RF of $\frac{1}{2000}$ .
Determine the horizontal scale as a representative fraction (RF).
From the map image, the horizontal scale (map scale) is $1:50,000$ .
This is already in RF form, so the horizontal scale RF is $\frac{1}{50,000}$ .
Calculate the vertical exaggeration (V.E.).
The formula for vertical exaggeration is:
$\text{V.E.} = \frac{\text{Vertical Scale (RF)}}{\text{Horizontal Scale (RF)}}$
Substitute the values:
$\text{V.E.} = \frac{\frac{1}{2000}}{\frac{1}{50000}}$ $\text{V.E.} = \frac{1}{2000} \times \frac{50000}{1}$ $\text{V.E.} = \frac{50000}{2000}$ $\text{V.E.} = \frac{50}{2}$ $\text{V.E.} = 25$
The vertical exaggeration is 25 times.

The final answer is $\boxed{\text{25 times}}$ .

Using a Vertical Scale of 1cm represent 20 metres draw a cross section along northing 70 from Easting 84 to Easting 92. On cross section mark and name (i) R. Kerio (ii) Dry weather road (iii) Seasonal swamp (iv) Lake Kapnarok. Calculate the vertical exaggeration (V.E) of the section

Step-by-step solution

Determine the vertical scale as a representative fraction (RF).

Determine the horizontal scale as a representative fraction (RF).

Calculate the vertical exaggeration (V.E.).

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