This is Baldwin Street in Dunedin. Why is it famous?

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Presentation transcript:

This is Baldwin Street in Dunedin. Why is it famous?

What is meant by a gradient of 1 in 3.41? 1 metre 3.41 metres rise run

Estimate the angle of inclination

Use trigonometry to find the rise over the upper section of Baldwin Street. Once that is done, find the run (horizontal distance) of the upper section. 161.2 m 17.033° rise

𝑠𝑖𝑛17.033°= 𝑟 161.2 𝑠𝑖𝑛17.033°=0.293 161.2 ×𝑠𝑖𝑛17.033°=𝑟 161.2 ×0.293=𝑟 47.525m=𝑟

161.2 2 = 47.525 2 + 𝑙 2 161.2 2 − 47.525 2 = 𝑙 2 161.2 2 − 47.525 2 =𝑙 154.035m=𝑙

70 m 23.104m θ The very top section of Baldwin Street is even steeper. What is the angle of ascent for the steepest part? 23.104m 70 m θ

𝑠𝑖𝑛θ= 23.104 70 𝑠𝑖𝑛θ=0.33 θ=19.27° (2𝑑𝑝) 𝜃= sin −1 0.33