Download 9.6 Solving Right Triangles

9.6 Solving Right Triangles
Inverse of the trigonometric
functions
Find all the acute angles and
missing side
Find the missing parts
B
8
A
10
C
b
Find all the acute angles and
missing side
Find the missing parts
B
10
8 2  10 2  b 2
C
64  100  b
2
b  164  2 41
8
A
2 41
Find all the acute angles and
missing side
How do you find the missing angles.
B
8
A
10
2 41
C
Arc Tan or
Inverse of the Tangent function
How do you find the missing angles.
10
B
8
2 41
51.3
A
C
10
Tan A   1.25
8
Tan 1.25  mA
1
mA  51.3
How do you find Angle C?
The Acute angles of a right triangle are
complementary
10
B
8
2 41
51.3
A
C
How do you find Angle C?
The Acute angles of a right triangle are
complementary
10
B
C
38.7
51.3  m C  90
8
2 41
51.3
A
m C  38.7
Find the missing Parts
Solve for t, s and Angle S
S
15
t
20
R
s
T
Find the missing Parts
Solve for t, s and Angle S
mS  90  20  70
S
15
t
20
R
s
T
Find the missing Parts
t
Sin 20 
15
Solve for t, s
S
15  Sin 20  t
70
15
5.1  t
5 .1
20
R
s
T
Find the missing Parts
s
Cos 20 
15
15  Cos 20  s
Solve for t, s
S
70
15
5 .1
14.1  s
20
R
14.1
T
How high is the Hot Air Balloon
Find the height
h
Angle of elevation
28
B
1.8miles
A
How high is the Hot Air Balloon
Find the height
h
Tan 28 
1.8
1.8  Tan 28  h
h  0.96
Angle of elevation
h
28
B
1.8miles
A
What is the Angle of Elevation at B
The distance from
A to B
0.96
Tan B 
1
1
Tan 0.96   m B
m B  43.8
2.8miles
0.96
28
B
1
1.8miles
A
Homework
Page 570  572
# 12  32 even,
34  40