<s>[INST] Extreme sports athlete Danny Way is a legend among
skateboarders. When considering his latest project,
Gold Medal Hills in China, I couldn’t help but wonder
about the trigonometry of his ramp look like on Pause
mode . Trigonometry is built into video games using
3D graphics . You can see the application when you
play the game Tony Hawk’s Pro Skater , a classic video
game that gets you shredding the gnar . The term
trigonometry refers to the branch of mathematics
that deals with the relationships between the angles
and the numbers that describe these angles .
Trigonometry deals with the measurements and
calculation of these angles, focusing on triangles.
Trigonometry is built into a Game or a real-life
scenery includes the calculation of measurement
of an objects height, the distance between two
objects, and the composition where one object fits
inside of another . There are two main types of
trigonometry, solid and spherical . One of the cool
things about trigonometry is that it influences so
many different aspects of real life, everything from
medical research, to video game creation, to the
design of the golden Gate Bridge .
Without a doubt, there exists trigonometric value in all of
these scenarios, which can be both surprising and
fascinating, due to the way trigonometry may not be
immediately apparent to the human eye. Reflecting
on a real life scenario, consider the setup and design
of Danny Way’s Mega ramp located in China . Take
a close look at the ramp.
The mega-ramp was Constructed five years ago.
Not immediately apparent from first glance is the
implemented trigonometry in the construction and
design of the mega ramp . One notable aspect is the
relatively flat transition connecting the larger
features – One feature includes a (typically) 100-foot
large hill is two-thirds of the way down and results
in a “channel.” What’s fascinating is that due to the
demands of the sport, designers had to incorporate
certain features to ensure the ramp remains safe.
Incorporating features like:
vertically-walled channels to preserve speed,
specific and carefully planned transition zones,
this ensures that skaters will maintain speed and
be able to successfully complete the desired
tricks without losing control . At double the size and
twice the length, construction engineers built higher
vs lower land – out of wood. Setting height allows
higher platforms above the ground to build a
structurally sound foundation for jumping .
Consider you are constructing Danny Way Mega
Ramp, what angle degree YOU WOULD like
your launch point take off platform to be
overlooking the channel of the Mega Ramp?[/INST]