ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2
Question 4
ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel.
The following information represents features of the Ferris wheel:
- The structure is 443... show full transcript
Worked Solution & Example Answer:ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2
Step 1
4.1.1 Calculate the total number of occupants in Capsule 24 and Capsule 30
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Answer
The total number of occupants in Capsule 24 is calculated as follows:
Adults: 18
Children: 7
Senior Citizens: 5
Total for Capsule 24 = 18 + 7 + 5 = 30
The total number of occupants in Capsule 30 is calculated as follows:
Adults: 10
Children: 1
Senior Citizens: 5
Total for Capsule 30 = 10 + 1 + 5 = 16
Hence, the total number of occupants for both capsules = 30 + 16 = 46.
Step 2
4.1.2 (a) Calculate (in feet) the circumference of the wheel
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Answer
The formula to calculate the circumference is:
Circumference=2×π×radius
Substituting the values,
Circumference=2×3.142×197
Calculating this gives:
Circumference=1237.49 feet
Step 3
4.1.2 (b) Hence, calculate the distance (to the nearest metre) on the circumference between any TWO capsules right next to each other
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Answer
If the total circumference is 1237.49 feet and there are 32 capsules,
The distance between two adjacent capsules is given by:
Distance=Number of CapsulesCircumference=321237.49