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Skate Park Ramp Analysis

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Skate Park Ramp Analysis

Use the ramp plans and measurements to solve each geometry challenge. Show your working and include units where needed. Assume each ramp profile is a straight line unless stated otherwise.

Read the ramp geometry

A ramp profile can be modelled as a right-angled triangle: the ground is the horizontal side, the height is the vertical side, and the ramp surface is the hypotenuse.

1.A launch ramp rises 3 m over a horizontal run of 4 m. What is the angle between the ramp and the ground? Round to the nearest degree.

2.For the ramp in Question 1, calculate the length of the sloping ramp surface. Give your answer in metres.

3.A design guideline for this task says the straight launch ramp must be no steeper than 40°. Which ramp meets the guideline?

A ramp with a 42° incline
A ramp with a 38° incline
A ramp with a 45° incline
A ramp with a 50° incline

4.A different ramp has a horizontal run of 6 m and an incline of 30°. Estimate its vertical height. Round to 1 decimal place.

Plan the space and materials

Use scale, area and perimeter to check whether a ramp fits its site and how much material its surface needs.

5.A ramp is 8 m long horizontally and 2 m high. In the space below, draw its front profile using a scale of 1 cm represents 1 m. Label the horizontal run and height.

Draw the ramp profile here.

6.A rectangular flat deck beside the ramp is 5 m long and 2.4 m wide. What is its area?

7.How many metres of safety edging are needed to go around all four sides of the 5 m by 2.4 m deck? Do not include an entrance gap.

8.Ramp A rises 2 m over a 6 m horizontal run. Ramp B rises 3 m over a 6 m horizontal run. Which has the steeper incline? Explain using the rise-to-run ratio.

Make a design recommendation

Use the measurements to explain which design choices make sense for a community skate park.

9.The sloping face of a ramp is 5 m long and 2 m wide. What is the area of the face that needs a protective coating?

10.The council is choosing between a ramp that is 3 m high with a 4 m run, and a ramp that is 2 m high with a 6 m run. The task guideline is a maximum incline of 40°. Recommend the ramp with the gentler slope. Give both incline angles to the nearest degree and explain your choice.