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GRADIENT
How to calculate the gradient using a topological map

RM ACCOUNTS ED ram@2011 reserved
Formula to be applied
• Gradient is an expression of the change in
elevation over the distance covered along the
surface.

• Gradient =

Vertical difference (in height)
Horizontal distance (on the ground)

• Express gradient in the format VD:HD

RM ACCOUNTS ED ram@2011 reserved
example
Calculate the gradient of the road
from the bridge at Cocoa Estate to
the junction near the radio mast on
the coast.

(adapted from CSEC 2012 Geography CXC May/June – Qn 1(v))

RM ACCOUNTS ED ram@2011 reserved
Dominica (Lesser Antilles)

Examine the contour lines that pass through each point for
the heights; and use the scale to ascertain the distance
RM ACCOUNTS ED ram@2011 reserved
Steps to take
• Identify the heights of the two locations
• Measure the distance in a straight line between the
two points.
• OR if specified, along the route identified (e.g the road,
or river, etc)
• Ensure that both the height and the distance have
been expressed in the same units (i.e metres or feet)
RM ACCOUNTS ED ram@2011 reserved
What do we now know?
• The height of the bridge is
65 metres
• The height of the junction is 5 metres

• The measurement of the distance between
the bridge and the junction is 3000 metres

RM ACCOUNTS ED ram@2011 reserved
Applying the formula
•
Vertical difference (in height)
Horizontal distance (on the ground)
65 - 5
3000

•

therefore the gradient VD:HD

(60: 3000) is 1: 50

RM ACCOUNTS ED ram@2011 reserved
sketched

For every fifty metres (in distance) you advanced from the
bridge towards the junction you would have descended one
metre (in height)

RM ACCOUNTS ED ram@2011 reserved

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Gradient CSEC Geography

  • 1. GRADIENT How to calculate the gradient using a topological map RM ACCOUNTS ED ram@2011 reserved
  • 2. Formula to be applied • Gradient is an expression of the change in elevation over the distance covered along the surface. • Gradient = Vertical difference (in height) Horizontal distance (on the ground) • Express gradient in the format VD:HD RM ACCOUNTS ED ram@2011 reserved
  • 3. example Calculate the gradient of the road from the bridge at Cocoa Estate to the junction near the radio mast on the coast. (adapted from CSEC 2012 Geography CXC May/June – Qn 1(v)) RM ACCOUNTS ED ram@2011 reserved
  • 4. Dominica (Lesser Antilles) Examine the contour lines that pass through each point for the heights; and use the scale to ascertain the distance RM ACCOUNTS ED ram@2011 reserved
  • 5. Steps to take • Identify the heights of the two locations • Measure the distance in a straight line between the two points. • OR if specified, along the route identified (e.g the road, or river, etc) • Ensure that both the height and the distance have been expressed in the same units (i.e metres or feet) RM ACCOUNTS ED ram@2011 reserved
  • 6. What do we now know? • The height of the bridge is 65 metres • The height of the junction is 5 metres • The measurement of the distance between the bridge and the junction is 3000 metres RM ACCOUNTS ED ram@2011 reserved
  • 7. Applying the formula • Vertical difference (in height) Horizontal distance (on the ground) 65 - 5 3000 • therefore the gradient VD:HD (60: 3000) is 1: 50 RM ACCOUNTS ED ram@2011 reserved
  • 8. sketched For every fifty metres (in distance) you advanced from the bridge towards the junction you would have descended one metre (in height) RM ACCOUNTS ED ram@2011 reserved