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A map has a scale of 1:25200. If the distance between two points on the map is 135 mm, what is the actual distance in kilometers? What is the compass direction from Hotel Novotel (A) to London Eye (B)

Geography

ScanSolve AI Answer

Answer

South-West\text{South-West}

1 : 25200\text{1 : 25200}

34 km/h\text{34 km/h}

Step-by-step solution

9 steps

1.2.1

  1. Locate the Hotel Novotel (A) and the London Eye (B) on the map.

    The Hotel Novotel (A) is located to the north-east of the London Eye (B).

  2. Determine the compass direction from Hotel Novotel to London Eye.

    Moving from point A to point B on the map involves moving downwards and to the left. This corresponds to a South-West direction.
    The general compass direction of the London Eye from the Hotel Novotel is South-West\boxed{\text{South-West}}.

    1.2.2

  3. Identify the given map distance and actual distance.

    Map distance = 135 mm
    Actual distance = 3.4 km (from the image, between A and B)

  4. Convert the actual distance to millimeters.

    3.4 km=3.4×1000 m=3400 m3.4 \text{ km} = 3.4 \times 1000 \text{ m} = 3400 \text{ m} 3400 m=3400×1000 mm=3,400,000 mm3400 \text{ m} = 3400 \times 1000 \text{ mm} = 3,400,000 \text{ mm}
  5. Determine the scale in the form 1

    X.

    Scale=Map distanceActual distance=135 mm3,400,000 mm\text{Scale} = \frac{\text{Map distance}}{\text{Actual distance}} = \frac{135 \text{ mm}}{3,400,000 \text{ mm}}

    To express this as 1 : X, divide the actual distance by the map distance:

    X=3,400,000135≈25185.185X = \frac{3,400,000}{135} \approx 25185.185
  6. Round the value of X to the nearest 100.

    Rounding 25185.185 to the nearest 100 gives 25200.
    The scale used to draw the map is 1 : 25200\boxed{\text{1 : 25200}}.

    1.2.3

  7. Identify the given distance and time for the bus trip.

    Distance = 3.4 km (from the image, between A and B)
    Time = 6 minutes (from the image)

  8. Convert the time from minutes to hours.

    Time in hours=6 minutes60 minutes/hour=0.1 hours\text{Time in hours} = \frac{6 \text{ minutes}}{60 \text{ minutes/hour}} = 0.1 \text{ hours}
  9. Calculate the average speed using the formula Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}.

    Speed=3.4 km0.1 hours=34 km/h\text{Speed} = \frac{3.4 \text{ km}}{0.1 \text{ hours}} = 34 \text{ km/h}

    The average speed of the bus throughout this trip is 34 km/h\boxed{\text{34 km/h}}.

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