SIDE LENGTHS and the ANGLES between them finally connected

1. SIDE LENGTHS and the ANGLES between them finally connected Intro to Trigonometry …but first…

2. Lombard Street is the steepest street in San Francisco

3. True or False? Lombard Street is the steepest street in San Francisco

4. Were you correct? The steepest street in San Francisco is…

5. Were you correct? The steepest street in San Francisco is… Filbert Street, (between Hyde & Leavenworth)

6. The Steepest Street in SF Lombard Street Filbert Street

7. The Steepest Street in SF Lombard Street Filbert Street 14.3% grade

8. The Steepest Street in SF Lombard Street Filbert Street 14.3% grade 31.5% grade

9. How do you Measure “Grade”? Grade is measured as the number of feet risen for every 100 feet.

10. How do you Measure “Grade”? Grade is measured as the number of feet risen for every 100 feet. 100 ft

11. How do you Measure “Grade”? Grade is measured as the number of feet risen for every 100 feet. 11 ft 100 ft

12. So wait, how steep is an 11% grade? Like this? Or more like this? Or like this?

13. The steepest street in the world has a 35% grade

14. How steep is a 35% grade? What kind of answer would make sense?

15. Is “grade” the same as “angle’”? 35% = 35° ?

16. Ready for the answer? ?

17. Baldwin Street in New Zealand

18. Photographed with the street level

19. …looking at it like that though…

20. So are we still using the same ratio?

21. Other ratios Sine ratio: sin x = Cosine ratio: cosx =