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