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Page 1: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

9.6 Solving Right Triangles

Inverse of the trigonometric functions

Page 2: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find all the acute angles and missing side

Find the missing parts

b

B

A

C

8

10

Page 3: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find all the acute angles and missing side

Find the missing parts

B

A

C

8

10

412164

10064

1082

222

b

b

b

412

Page 4: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find all the acute angles and missing side

How do you find the missing angles.

B

A

C

8

10

412

Page 5: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Arc Tan or Inverse of the Tangent function

How do you find the missing angles.

B

A

C

8

10

412

3.51

25.1

25.18

10

1

Am

AmTan

ATan

3.51

Page 6: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

How do you find Angle C?The Acute angles of a right triangle are

complementary

B

A

C

8

10

4123.51

Page 7: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

How do you find Angle C?The Acute angles of a right triangle are

complementary

B

A

C

8

10

4123.51

7.38

903.51

Cm

Cm

7.38

Page 8: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find the missing Parts

Solve for t, s and Angle S

20

s

t15

S

R T

Page 9: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find the missing Parts

Solve for t, s and Angle S

20

s

t15

S

R T

702090Sm

Page 10: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find the missing Parts

Solve for t, s

20

s

15

S

R T

70

t

tSin

tSin

1.5

2015

1520

1.5

Page 11: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Find the missing Parts

Solve for t, s

20

15

S

R T

70

1.5 s

sCos

sCos

1.14

201515

20

1.14

Page 12: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

How high is the Hot Air Balloon

Find the height

h

AB miles8.128

elevationofAngle

Page 13: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

How high is the Hot Air Balloon

Find the height

h

AB miles8.128

elevationofAngle

96.0

288.1

8.128

h

hTan

hTan

Page 14: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

What is the Angle of Elevation at B

The distance from

A to B

AB miles8.128

miles8.2

96.0

1

8.43

96.01

96.0

1

Bm

BmTan

BTan

Page 15: 9.6 Solving Right Triangles Inverse of the trigonometric functions.

Homework

4034

, 3212 #

572570

even

Page


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