Hello my name is Rosa Estela
and I'm going to present this video talking about
geometry
In this case is
an example of analytic geometry.
Let's consider
the intersection between two Orthogonal Streets
which follow
the coordinate axes x
is the main street, and Y is the side
street
On the positive quadrant of (x,y)
there is a tall building obstructing the sight
distance of the drivers approaching the intersection.
The building is located at a distance
b of the x axis and a
of the y axis as illustrate
the figure that you can see
Let�s determine
the sight distance ^y measured
on the side street for a vehicle located at position
^x on the main street,
and let's consider ^x bigger than a
Determine also the total distance
d_1 the vehicles need to travel
in their respective street before meeting at the intersection.
And as a particular case, let's consider
a=b=10m and
^x equal to 60m
and also compute
the Euclidean distance d_2.
This would be the straight line
distance between the vehicles.
So the equation of the line
passing through the points
is this one you can see
and four x equal to zero
is this equation
And remember always that
the position of the vehicle ^x
is bigger to a
The total distance
d_1 the vehicles need to travel in their respective street
before meeting at the intersection
is the norm of the difference
the difference between x and y
and considering the equation
We have
this value of d_1.
So if we consider our particular case,
With the values that we said before
we compute the sight distance
^y and is 12 meters
and if we compute d_1,
this is the value.
And if we compute the Euclidean distance
You can see that is lower than d_1
and this is natural for sure.