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Sturdy the street map of the Berea/Musgrave area in Durban provided in Annexure A and answer the questions that follow: 2.1 Name the specific campus located at the intersection of centenary Road and Mansfield Road 2.2 A student at the D.U.T (M.L.Sultan campus) need to walk to the municipal sports ground for a match a) in which general compass direction must the student walk from the campus to reach the sports ground? b) Identify one landmark the student will pass on their right-hand side if they walk North - West along centenary Road 2.3 The map In annexure A uses a number scale of 1:15 000 A leaner measures the straight line distance on the map between the DUT(M.L. sultan campus) and the Botanical gardens as 5,2cm. Calculate the actual distance in metres kilometres

Mathematics

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here are the answers for question 4.2:

4.2.1

  1. Locate Centenary Road and Mansfield Road on the map.

  2. Identify the campus situated at their intersection.

    The campus located at the intersection of Centenary Road and Mansfield Road is the D.U.T. (Steve Biko Campus).

    4.2.2

    a)

  3. Locate the D.U.T (M.L.

    Sultan campus) and the Municipal Sports Ground.

  4. Determine the general direction from the campus to the sports ground.

    The student must walk in a general North-West direction.

    b)

  5. Locate Centenary Road and imagine walking North-West along it.

  6. Identify a landmark on the right-hand side.

    If the student walks North-West along Centenary Road, a landmark they will pass on their right-hand side is the Botanical Gardens.

    4.2.3

  7. Understand the given scale and map distance.

    The number scale is 1:15 0001:15\,000, meaning 1 cm1 \text{ cm} on the map represents 15 000 cm15\,000 \text{ cm} in actual distance.
    The map distance is 5.2 cm5.2 \text{ cm}.

  8. Calculate the actual distance in centimeters.

    Actual distance (cm)=Map distance (cm)×Scale factor\text{Actual distance (cm)} = \text{Map distance (cm)} \times \text{Scale factor} Actual distance (cm)=5.2 cm×15 000\text{Actual distance (cm)} = 5.2 \text{ cm} \times 15\,000 Actual distance (cm)=78 000 cm\text{Actual distance (cm)} = 78\,000 \text{ cm}

  9. Convert the actual distance from centimeters to meters.

    Since 1 m=100 cm1 \text{ m} = 100 \text{ cm}:

    Actual distance (m)=78 000 cm100 cm/m\text{Actual distance (m)} = \frac{78\,000 \text{ cm}}{100 \text{ cm/m}} Actual distance (m)=780 m\text{Actual distance (m)} = 780 \text{ m}

  10. Convert the actual distance from meters to kilometers.

    Since 1 km=1 000 m1 \text{ km} = 1\,000 \text{ m}:

    Actual distance (km)=780 m1 000 m/km\text{Actual distance (km)} = \frac{780 \text{ m}}{1\,000 \text{ m/km}} Actual distance (km)=0.78 km\text{Actual distance (km)} = 0.78 \text{ km}

    The actual distance is 780 m\boxed{\text{780 m}} or 0.78 km\boxed{\text{0.78 km}}.

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