1) The 17th hole at the famous st andrews golf course is 420 m in length.How long will it appear on a plan of the course of scale 1:8000?
2) On a map of scale 1:15000,the distance between the buckingham palace and brixton underground station is 31.4cm. what is the actual distance in km?
(1) Convert into cm first, so: 420 m = ___ cm
Then, divide that number with 8000
(2) Multiply 31.4 with 15000 (in cm), then convert the result into km
1) To determine the length the 17th hole will appear on a plan with a scale of 1:8000, we need to divide the actual length of the hole by the scale.
The formula to calculate the length on the plan is:
Length on Plan = Actual Length / Scale
In this case, the actual length of the 17th hole is 420 m, and the scale is 1:8000.
Length on Plan = 420 m / 8000 = 0.0525 m
Therefore, the length of the 17th hole will appear as 0.0525 meters on a plan of the golf course with a scale of 1:8000.
2) To calculate the actual distance between Buckingham Palace and Brixton Underground Station, given the map scale and the distance on the map, we need to multiply the distance on the map by the map scale.
The formula to calculate the actual distance is:
Actual Distance = Distance on Map x Scale
In this case, the distance on the map is 31.4 cm, and the scale is 1:15000.
Actual Distance = 31.4 cm x 15000 = 471000 cm
Since we want the actual distance in kilometers, we need to convert centimeters to kilometers.
Actual Distance (km) = 471000 cm / 100000 = 4.71 km
Therefore, the actual distance between Buckingham Palace and Brixton Underground Station is 4.71 kilometers.
To calculate the length of an object on a map using a scale, you can use the following formula:
Length on map = Length in reality ÷ Scale factor
1) The scale of the plan of St Andrews golf course is given as 1:8000, meaning that 1 unit on the map represents 8000 units in reality. The length of the 17th hole is 420m, so let's calculate the length on the map:
Length on map = 420m ÷ 8000 = 0.0525m
Since the answer is in meters, you can convert it to centimeters or any other unit of measurement if required.
2) The scale of the map is given as 1:15000, so 1 unit on the map represents 15000 units in reality. The distance between Buckingham Palace and Brixton Underground Station on the map is 31.4cm. Let's calculate the actual distance:
Length in reality = Length on map × Scale factor
= 31.4cm × 15000 = 471000cm
To convert centimeters to kilometers, divide by 100,000 (since there are 100,000 centimeters in a kilometer):
Actual distance = 471000cm ÷ 100000 = 4.71km
So, the actual distance between Buckingham Palace and Brixton Underground Station is 4.71 kilometers.