Download Acc Area Extensions_solutions.jnt

Accelerated AAG
Trigonometry – Area Applications
Name & Date
7) Find the area and the measure of each angle.
17
10
21
8) Find the area of the trapezoid below. Find the measures of all four angles.
10
15
13
24
Accelerated AAG
Trigonometry – Area Applications
Name & Date
9) Find the area of the triangle below. You must write equations and show work (you may use a calculator).
10
13
11
Find the measures of each angle.
10) Suppose that in triangle DEF, E is the right angle. If sin F 
Find the measures of angles D and F.
2
, find cosF, tanF, sinD, cosD and tanD.
3
11) Suppose that in triangle ABC, C is a the right angle. If cos A 
12
, find sinA, tanA, sinB, cosB and tanB..
13
Find the measures of angles A and B.
12) A ramp is built that leads up to a doorway. Its slope is 1/13. What angle will the ramp make with the
horizontal?
13) To ensure that water and waste are not trapped in a drain pipe, drain pipes are installed so that every 10
feet of pipe, there is a drop of 1”. What angle does the pipe make with the horizontal?
14)
15)
6
4
x
x°
40°
3
16)
17)
25
3
52°
x
x°
5
Accelerated AAG
Trigonometry – Area Applications
Name & Date
18) Each side of the regular pentagon shown is 8cm long.
A) Find the length of
B) Find the area of VIO
VO .
C) Find the area of trapezoid VOLA.
19) Consider the regular octagon where CD = 10. Find the total area of the polygon.
A
B
H
C
I
G
D
F
E
20) The figure below is a regular polygon inscribed in a circle. If the length of BC is 17, find the area of the
polygon.
D
A) Find m ABC .
C
E
B
B) Find the area of the polygon.
F
A
G
I
H
C) Find the area of ABC .
21) The figure below is a regular polygon inscribed in a circle with a radius of 4. Find the area of the polygon.
A
B
J
C
I
D
H
E
G
F
Accelerated AAG
Trigonometry – Area Applications
Name & Date
22) The regular polygon below in inscribed in a circle with a radius of 18.
M
A) Find m KEL .
I
C
A
B) Find the area of the entire polygon.
G
K
P
E
C) Find the area of PGA .
L
N
O
D) Find the length of diagonal NL .
E) Find the area of trapezoid NLSO.
S