Transcript Real World Examples of Inverse Trigonometry Functions

 Inverse trigonometry functions
are used by people in many
different professions.
 One of the most common uses
for inverse trigonometry
functions is in carpentry.
 Suppose you want make sure that the
end of a piece of wood molding is cut
at a 45 degree angle.
 How would you check to make sure?
You can measure the side
lengths at the end of the
molding and use an
inverse trigonometric
function to determine the
angle of the cut.
1 in.
θ
1 in.
A good cut
 Another area where inverse
trigonometric functions can
come in helpful is mountain
climbing, where you might
be interested in determining
the elevation of a path on a
mountain.
This can be useful
information for
determining which path
might be best to take so
that you do not overexert
yourself on the climb.
 Suppose you want to climb up a path
that ends 200 feet above your current
location and is 400 feet horizontally
away from you.
 However, you do not want to climb up
an elevation greater than 40 degrees,
should you make the climb?
You can model this
problem using a right
triangle and inverse
trigonometric functions.
200 ft.
θ
400 ft.
You can make
the climb.