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Unit 5 Day 13 Trigonometry Whiteboard Review

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Page 1: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Unit 5 Day 13

Trigonometry Whiteboard Review

Page 2: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

TRIG TEST REVIEW

Get into groups of two, one person from your

Needs to come get the following:

Whiteboard

Expo Marker

Eraser

Everyone should have a sheet of paper, calculator

and pencil to take notes!

Page 3: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

C

B

A

c

b

a

a

c

Page 4: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve the triangle

If Angle A = 42 , Angle C = 77 , c = 6

Angle B = 61

a = 4.1

b = 5.4

Page 5: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for side a (to the tenths place)

a = 6.3

Page 6: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

6

7

5

4

3

21

Cal

Ben

Al

Which is the angle of depression for Ben as he looks at Cal?

Page 7: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

b

cB c A

a b

C

Page 8: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

A person is standing 50 meters from a

traffic light. If the angle of elevation from

the person to the top of the traffic light is 25

degrees, find the height of the traffic light to

the nearest meter.

23 meters

Page 9: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

C

B

A

c

b

a

a

c

Page 10: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

, .Solve for m C first then find m ADB

Round to the nearest whole degree.

Picture not drawn to scale.

122

58

m ADB

m C

Page 11: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Use your Calculator to find…

cos82 0.1392

Page 12: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Find the amplitude, period, and midline.

y = -2cos (2x) +3

Amplitude: 2

Period: 180

Midline: y = 3

Page 13: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Fill in the Blank…

If sin A = cos B then

Angle A and Angle B

are _____________.complementary

Page 14: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Write the equation of the trig function.

y = sin(3x)

Page 15: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

C

B

A

c

b

a

b

a

Page 16: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Find x:

2sin(3 )cos( ) cos( )x x x

x = 90˚, 10˚

Page 17: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

6

7

5

4

3

21

Cal

Ben

Al

Which is the angle of elevation for Cal as he looks at Ben?

Page 18: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

sin 3520

x

Solve for x:

11.47x

Page 19: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for x:

tan 4428

27.04

x

x

4428

x

Page 20: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Find B, a, and c

Angle B = 29, a = 33, c = 28

Page 21: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

14tan 41

x

Solve for x:

16.11x

Page 22: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for x.

4cos (x) – 6 = -5.2

x = 78.5

Page 23: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Use your Calculator to find…

sin 23 0.3907

Page 24: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for x:

cos368

6.47

12.94

y

y

x

8

x

36

8

Page 25: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Classify the ∆ by sides and angles:

Scalene right

Page 26: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

12cos72

x

Solve for x:

38.8x

Page 27: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

C

B

A

c

b

a

a

b

Page 28: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve ABC if mA = 25, a = 125, and

b = 150.

Case 1:

Angle B = 30

Angle C = 125

c = 242

Case 2:

Angle B = 150

Angle C = 5

c = 26

Page 29: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

11cos

13x

Solve for x:

32.2x

Page 30: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Write the equation of the trig funtion. y = 4cos(3x)

Page 31: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Fill in the blank….

cos ___ sin 5040

Page 32: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for x:

28cos 44

38.9

x

x

4428

x

Page 33: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve for x:

x84

18

x9

sin 42

13.45

x

x

Page 34: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

A cliff is 90 feet above the sea. From the cliff,

the angle of depression of a boat measures

46 degrees. How far is the boat from the

base of the cliff?

86.9 feet

Page 35: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Complete the given Ratio:

C

B

A

c

b

a

b

c

Page 36: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Solve the triangle

If Angle R = 37 , q = 8, p = 11

Angle Q = 43

Angle P = 100

r = 7

Page 37: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Find the area:

If Angle R = 37 , q = 8, p = 11

Area = 26.5

Page 38: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Classify the ∆ by sides and angles

Obtuse isosceles

Page 39: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

Find the amplitude, period, and midline.

y = (1/2)sin (3x) – 5

Amplitude: ½

Period: 120

Midline: y = -5

Page 40: Unit 5 Day 13 - Weeblyhonorsmath2greenhope.weebly.com/uploads/8/6/7/7/86777830/... · A person is standing 50 meters from a traffic light. If the angle of elevation from the person

THE END!!

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Homework InformationPacket Page 27 - 30 ALL

*Print Cumulative Review HW

(for after Unit 5 Test)

Make sure to study for your TEST!!