Choose the 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
Is the answer C & D??
To determine the true statements, let's break down each option and evaluate them one by one:
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.
Naismith's rule is a guideline for estimating walking times based on the distance traveled and the ascent and descent involved. According to this rule, it is generally assumed that going uphill is slower than going downhill, as uphill walking requires more effort. Therefore, option A is true.
B) On a map with a scale of 1:200 000, 5 cm on the map will represent 1 km on the ground.
Map scales indicate the relationship between distances on a map and the corresponding distances on the ground. In this case, a scale of 1:200,000 means that one unit on the map represents 200,000 units on the ground. Since 5 cm is a unit on the map, it represents 5 * 200,000 cm or 1 km on the ground. Hence, option B is true.
C) On a map with a scale of 1:20 000, an area of 4 km² on the ground will be represented by an area of 100 cm² on the map.
Map scales usually refer to linear distances rather than areas. Therefore, option C is not true, as the representation of an area will depend on the scale as well as the unit used to measure it.
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.
Bearings represent directions. In a compass, the entire 360-degree circle is divided into four quadrants, each having a 90-degree range. If the bearing of the boat from the lighthouse is 030 degrees, it means the boat is facing 30 degrees to the right of the lighthouse. Thus, to find the bearing of the lighthouse from the boat, we need to add or subtract 180 degrees. In this case, 30 + 180 = 210 degrees. Therefore, option D is not true.
E) A road gradient of 25% is exactly the same as a mathematical gradient of 0.25.
Road gradient refers to the slope or steepness of a road, typically expressed as a percentage. A gradient of 25% means that for every 100 units of horizontal distance traveled, there will be an ascent or descent of 25 units. When expressed mathematically, this corresponds to 0.25 as the fraction or decimal representation. Therefore, option E is true.
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.
The walking distance between two hilltops will generally differ from the distance calculated using their grid references. Grid references represent points on a map in terms of a numerical system involving grid lines. While they provide a way to locate positions accurately, the distance measured between grid references does not account for any terrain features or obstacles that may exist. Therefore, option F is not true.
Based on the explanations above, the two true statements are 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 and B) On a map with a scale of 1:200 000, 5 cm on the map will represent 1 km on the ground.