Download Practice Quiz: Lessons 4.7-4.8 Name: Period: ______ 1) Evaluate

Practice Quiz: Lessons 4.7-4.8
Name: _______________________________ Period: ________
1)
Evaluate the following without using a calculator. Use your unit circle.
a)

2
 = _________
sin 1  

 2 
b)
1
sin 1   = _________
2
c)
arcsin 0 = _________
d)
 3
 = _________
cos 1 

2


e)
arccos1 = _________
f)
 1
cos 1    = _________
 2
g)
arctan 0 = _________
h)
tan 1  1 = _________
i)

3
 = _________
tan 1  

 3 
2)
Evaluate the following compositions of trigonometric functions:
a)
  7
sin 1  sin 
  6
a)
a)
3)
b)

 3 
  = _________________
sin  sin 1 


2




 2 
  = ___________________
cos cos 1 


2



b)
  5
cos 1  cos
  4
  2
tan 1  tan 
  3
b)
tan tan 1 0 = _________________

  = ___________________


  = ___________________



  = _________________


Find all of the missing sides and angles of the following triangles. Circle each final answer. Round
2 decimals places.
a)
B
b)
B
a
C
c = 45
b = 30
c = 15
a
A
55º
A
b
C
4)
Find the altitude of the following isosceles triangle. Round 2 decimals places.
320
320
10 feet
5)
Docking a boat
A boat is pulled in by means of a winch located on a dock 8 feet above the deck
of the boat. Let θ be the angle of elevation from the boat to the winch. Find θ if the length of the rope is
30 feet. Round 2 decimal places.
8
30
θ
6)
The sun is 250 above the horizon. Find the length of a shadow cast by a building that is 650 feet tall.
Round to the nearest foot.
a)
Draw a picture to represent the above situation
7)
The height of a flagpole is 35 feet. You are standing 12 feet from the flagpole. What is the angle of
elevation from you to the top of the flagpole? Round to 2 decimal places.
a)
Draw a picture to represent the above situation.
b)
B)
Find the length of the shadow.
Find the angle of elevation.