Introduction:
Do You Juana Ride a Roller Coaster?
(Google)
The Problem:
Juana decided to take a
break from baking! Her son Ivan and newly adopted son Julian thought that it
would be cool to go to the amusement park as a reward for all of their hard
work! The trio decides to go on a ride with a bunch of dips and rises.
a) Before they get on,
Ivan, who is at ground level, decides that he wants to measure the angle of
elevation to the top of a coaster and comes up with a 58° angle of elevation.
If he is standing 42 feet away, what is the height of the roller coaster?
b) The three get on the
ride and everything is great! Until they get stuck on the top of the coaster
(same as from before). Julian tries to show Ivan how cool he is by figuring out
the angle of depression. If the lowest dip of the coaster is 72 feet away, and they travel 57 feet, what is the angle of depression?
The Solution:
HELPFUL TIPS:
1) Make sure that your calculator is is in the correct mode!
2) Remember that you MUST work with your triangles so that you start on the HORIZONTAL axis.
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