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SIDE LENGTHS and the ANGLES between them finally connected. Intro to Trigonometry. …but first…. Lombard Street is the steepest street in San Francisco. True or False?. Lombard Street is the steepest street in San Francisco. Were you correct?. The steepest street in San Francisco is…. - PowerPoint PPT Presentation
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Intro to Trigonometry
SIDE LENGTHS and the ANGLES between them
finally connected
…but first…
Lombard Street is the steepest street in San Francisco
Lombard Street is the steepest street in San Francisco
True or False?
Were you correct?
The steepest street in San Francisco is…
Were you correct?
The steepest street in San Francisco is…
Filbert Street,
(between Hyde & Leavenworth)
The Steepest Street in SF
Lombard Street Filbert Street
The Steepest Street in SF
Lombard Street Filbert Street
14.3% grade
The Steepest Street in SF
Lombard Street Filbert Street
14.3% grade 31.5% grade
How do you Measure “Grade”?
Grade is measured as the number of feet risen for every 100 feet.
How do you Measure “Grade”?
Grade is measured as the number of feet risen for every 100 feet.
100 ft
How do you Measure “Grade”?
Grade is measured as the number of feet risen for every 100 feet.
100 ft
11 ft
So wait, how steep is an 11% grade?
Like this?
Or more like this?
Or like this?
The steepest street in the world has a
35% grade
How steep is a 35% grade?
What kind of answer would make sense?
Is “grade” the same as “angle’”?
35% = 35°?
Ready for the answer?
?
Baldwin Street in New Zealand
Photographed with the street level
…looking at it like that though…
So are we still using the same ratio?
Other ratios
Sine ratio: sin x =
Cosine ratio: cos x =