side lengths and the angles between them finally connected

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 =