Download Chapter 13 Mid-Chapter Quiz 1. Fill in the Unit Circle Template

Chapter 13 Mid-Chapter Quiz
1. Fill in the Unit Circle Template.
Evaluate without using a calculator.
4.
2.
3. Solve for x to the nearest degree.
Find the values of x and y.
5. Solve
using the diagram and the given
measurements. (The triangle is not drawn to scale.)
A = 31 , a = 12
Evaluate the function without using a calculator.
14. cos
a.
b. 0
c.
d. 1
6. A ladder 20 feet long makes an angle of 59 with
the ground as it leans against a house. How far up
the side of the house does the ladder reach?
15. An athlete throws the javelin at an angle of 37
with an initial velocity of 71 feet per second. How
far does the javelin go?
7. Which of the angles are coterminal?
16. Without using a calculator, find the exact value of
8. Convert
to radian measure.
a.
9. Convert
b.
to degree measure.
c.
10. Find the arc length of a sector with a radius of 8
feet and a central angle of 60 .
d.
11. A circular ice rink is divided into three equal
sectors. The radius of the ice rink is 120 feet.
a. What is the measure of the central angle of one
sector of the ice rink in degrees and radians?
b. Find the area of one sector of the ice rink.
c. Describe another method to find the area of one
sector of the ice rink. Compare the two methods.
Solve the equation for
three significant digits.
12. The point
. Find
is the terminal side of an angle
.
13. Find the reference angle for –309 .
Round your answer to
17.
18. You are flying a kite and want to know its angle of
elevation. The string on the kite is 40 meters long
and the kite is level with the top of a building that
you know is 28 meters high. Use an inverse
trigonometric function to find the angle of elevation
of the kite.