choose 2 true statements
A) using Naismith's rule to plan a walk would give different times to walk up a hill as down it, on the same path.
B) On a map with a scale of 1:200 000, 5cm on the map will represent 1km on the ground
C) On a map with a scale os 1:20 000, an area of 4km2 on the ground will be represented by an area of 100cm2 on the map
D) If the bearing of a boat from a lighthouse is 030 degrees then the bearing of the lighthouse from the boat is 150degrees
E) A road gradient of 25% is exactly the same as a mathematical gradient of 0.25
F) The walking distance between 2 hill tops is likely to be the same as the distance between the 2 hill tops calculated using their grid references
Can anyone please help me. I think A is false
E is nonsense.
A is nonsense.
F is nonsense.
So work out B, C, D to see which is false. Careful on C, it is tricky.
Bob
I think its' C & D because i get 10km for B not 1km. Is this correct?
Yes, you are correct. Let's go through each statement to determine which ones are true.
A) Using Naismith's rule to plan a walk would give different times to walk up a hill as down it, on the same path.
This statement is true. Naismith's rule takes into account the distance to be covered, the ascent or descent involved, and a time factor. Since walking up a hill requires more effort and time compared to walking down the same hill, using Naismith's rule would result in different times.
B) On a map with a scale of 1:200 000, 5cm on the map will represent 1km on the ground.
This statement is true. When a map has a scale of 1:200,000, it means that 1 unit on the map represents 200,000 of the same units on the ground. So if 5cm on the map represents 1km on the ground, it is a correct representation.
C) On a map with a scale of 1:20 000, an area of 4km² on the ground will be represented by an area of 100cm² on the map.
This statement is false. To determine if this statement is true, we need to calculate the area scale factor. The formula for calculating the area scale factor is (Map Scale)². Therefore, for a map with a scale of 1:20,000, the area scale factor is (20,000)² = 400,000,000.
To find the area on the map, we divide the area on the ground by the area scale factor. 4km² / 400,000,000 = 0.00001 km² or 100m². This means that an area of 4km² on the ground will be represented by an area of 100m² on the map, not 100cm².
D) If the bearing of a boat from a lighthouse is 030 degrees, then the bearing of the lighthouse from the boat is 150 degrees.
This statement is false. Bearings are measured clockwise from North. If the bearing of the boat from the lighthouse is 030 degrees, then the bearing of the lighthouse from the boat would be 210 degrees (180 degrees + 30 degrees).
E) A road gradient of 25% is exactly the same as a mathematical gradient of 0.25.
This statement is true. A gradient can be expressed as a percentage or as a decimal. A road gradient of 25% is equivalent to a mathematical gradient of 0.25.
F) The walking distance between 2 hilltops is likely to be the same as the distance between the 2 hilltops calculated using their grid references.
This statement is false. The distance between two hilltops calculated using their grid references on a map is an approximation based on a grid system. The actual walking distance between the two hilltops may vary depending on the terrain, obstacles, and route taken.
So, to answer your question, the false statements are C) and D).