Question: Find the slope of the following ramp (5 mark each)
a
11.5 cm
6 cm
10 cm
We know
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b.
60 mm
20 mm
We know
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1. **Problem Statement:** Find the slope of the ramps given the side lengths of the triangles.
2. **Formula for slope:** The slope of a ramp is given by the ratio of the vertical rise to the horizontal run, i.e.,
$$\text{slope} = \frac{\text{rise}}{\text{run}}$$
3. **Important rules:**
- The rise is the vertical side of the triangle.
- The run is the horizontal side of the triangle.
- The hypotenuse is the ramp length.
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### Part a
4. Given sides: 11.5 cm, 6 cm, and 10 cm.
5. Identify the rise and run:
- Rise = 6 cm (vertical side)
- Run = 10 cm (horizontal side)
6. Calculate slope:
$$\text{slope} = \frac{6}{10}$$
7. Simplify the fraction:
$$\text{slope} = \frac{\cancel{6}}{\cancel{10}} = \frac{3}{5} = 0.6$$
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### Part b
8. Given sides: 60 mm and 20 mm.
9. Identify the rise and run:
- Rise = 60 mm
- Run = 20 mm
10. Calculate slope:
$$\text{slope} = \frac{60}{20}$$
11. Simplify the fraction:
$$\text{slope} = \frac{\cancel{60}}{\cancel{20}} = 3$$
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**Final answers:**
- a) Slope = 0.6
- b) Slope = 3