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Skate Park Ramp Analysis

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Skate Park Ramp Analysis

🛹 Part A: Mathematical Analysis

Scenario: The local council wants to add a new ramp to the community skate park. Two designs have been proposed:

Ramp A: Height: 2.4m, Base length: 8.5m, Construction cost: $145 per square metre

Ramp B: Height: 3.2m, Base length: 12.8m, Construction cost: $132 per square metre

Safety requirement: The angle of incline must not exceed 22° for public use.

1. Calculate the angle of incline for both ramps. Show your working.
2. Calculate the length of the ramp surface (hypotenuse) for both designs.
3. Determine the surface area of each ramp (assume width = 1.8m for both).
4. Calculate the total construction cost for each ramp.
5. Which ramp meets the safety requirements? Explain your reasoning.
6. Recommend which ramp the council should choose. Justify your decision considering safety, cost, and suitability.

📐 Part B: Scale Drawing Task

Instructions: Create scale drawings of your recommended ramp at 1:25 scale. Include all four elevation views with accurate measurements, symbols, and a comprehensive key.

7. Front Elevation View (1:25 scale)
8. Side Elevation View (1:25 scale)
9. Top View (1:25 scale)
10. End View (1:25 scale)
11. Drawing Key and Symbols
12. List the scaled dimensions for your chosen ramp:

Actual height: _______ m → Scale height: _______ cm

Actual base length: _______ m → Scale base length: _______ cm

Actual ramp surface: _______ m → Scale ramp surface: _______ cm

Actual width: _______ m → Scale width: _______ cm

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