Trigonemetric Functions, Angles, algebra homework help

Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.

1. OPEN ENDED Draw and label an example of an angle with negative measure in standard position. Then find an angle with positive measure that is coterminal with this angle.
2. Writing in Math Use the information on page 779 to explain how trigonometry is used in building construction. Include an explanation as to why the ratio of vertical rise to horizontal run on an entrance ramp is the tangent of the angle the ramp makes with the horizontal.
3. Writing in Math Use the information on page 796 to explain how you can model the position of riders on a skycoaster.

GET READY for the Lesson
1 ft
The Americans with Disabilities
Act (ADA) provides regulations
designed to make public buildings
accessible to all. Under this act,
the slope of an entrance ramp
designed for those with mobility
angle A
disabilities must not exceed a ratio
of 1 to 12. This means that for
every 12 units of horizontal run,
the ramp can rise or fall no more than 1 unit.
When viewed from the side, a ramp forms a right triangle. The slope
of the ramp can be described by the tangent of the angle the ramp
makes with the ground. In this example, the tangent of angle A is
12
12 ft
1
GET READY for the Lesson
A skycoaster consists of a large arch
from which two steel cables hang
and are attached to riders suited
together in a harness. A third cable,
coming from a larger tower behind
the arch, is attached with a ripcord.
Riders are hoisted to the top of the
larger tower, pull the ripcord, and
then plunge toward Earth. They
swing through the arch, reaching
speeds of more than 60 miles per
hour. After the first several swings
of a certain skycoaster, the angle 8 of
the riders from the center of the arch is given by 0 = 0.2 cos (1.6t),
where t is the time in seconds after leaving the bottom of their swing.