Geometry – Warmup – 3/10/20 Please get out the Law of ...Geometry – Warmup – 3/10/20 Please get out the Law of Sines & Cosines Mixed Practice CW/HW (#'s127 odd) for check off

mp3wk7#2notebook.notebook

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March 10, 2020

Geometry – Warmup – 3/10/20

Please get out the Law of Sines & Cosines Mixed Practice CW/HW (#'s127 odd) for check off purposes!


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March 10, 2020

7.046 yd.33.118 yd.

28.934 m14º

18º 35º

30.196 m

24.417 in.

19.018 in.21.208 in.

40º

137º38.036 mi.

22º

33.037 in

.

22º

52º 37 km39º

62º 37º

81º

96º 51º14.796 yd.

25º28º17.99

2 m

37º14 cm

13 cm


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March 10, 2020

19. Juan and Romella are standing at the seashore 10 miles apart. The coastline is a straight line between them. Both can see the same ship in the water. The angle between the coastline and the line between the ship and Juan is 35 degrees. The angle between the coastline and the line between the ship and Romella is 45 degrees. How far is the ship from Juan?

20. Jack is on one side of a 200footwide canyon and Jill is on the other. Jack and Jill can both see the trail guide at an angle of depression of 60 degrees. How far are they from the trail guide?

21. Three brothers, Tom, Dick, and Harry, are camping in their tents. If the distance between Tom and Dick is 153 feet, the distance between Tom and Harry is 201 feet, and the distance between Dick and Harry is 175 feet, what is the angle between Dick, Harry, and Tom?

22. Three boats are at sea: Jenny one (J1), Jenny two (J2), and Jenny three (J3). The crew of J1 can see both J2 and J3. The angle between the line of sight to J2 and the line of sight to J3 is 45 degrees. If the distance between J1 and J2 is 2 miles and the distance between J1 and J3 is 4 miles, what is the distance between J2 and J3?

23. Airplane A is flying directly toward the airport that is 20 miles away. The pilot notices airplane B 45 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of airplane B calculates that airplane A is 50 degrees to his left. Based on that information, how far is airplane B from the airport?

24. A plane leaves JFK International Airport and travels due west at 570 mi/hr. Another plane leaves at the same time and travels 22º west of north at the rate of 585 mi/hr. To the nearest ten miles, how far apart are they 1 hour into their journey?

25. Flights 104 and 217 are both approaching O’Hare International Airport from directions directly opposite one another and at an altitude of 2.5 miles. The pilot on flight 104 reports an angle of depression of 17º to the tower, and the pilot on flight 217 reports an angle of depression of 12º to the tower. Calculate the distance between the planes.

26. Matt measures the angle of elevation of the peak of a mountain as 35º. Susie, who is 1200 feet closer on a straight level path, measures the angle of elevation as 42º. How high is the mountain?

27. A triangular playground has sides of lengths 475 feet, 595 feet, and 401 feet. What is the measure of the smallest angle in the triangle to the nearest whole degree?

7.180 miles

200 ft.

47º

2.947 miles

18.461 miles

372.262 miles

19.938 miles

11,487 feet

42º


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March 10, 2020

a = 80.339c = 21.417

f = 28.398a = 16.466

c = 68.429 d = 14.318

FB = 25.980

A = 79º


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March 10, 2020

B = 28º E = 39º

B = 57º F = 72ª

P = 86º 128º

B = 97º e = 18.774


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March 10, 2020

K = 22º z = 56.195

79º

2.217 miles

23º

CB = 12.621

B = 55º


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March 10, 2020

HW Quiz – 1st hour!

1. Find the measure of angle Q 2. Find the length of side VCQ

RD

13

53o

8

?

V

C

W35o

8

10

?


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March 10, 2020

HW Quiz – 4th hour!


RD 1353o

18 ?

V

C

W35o

18

10

?


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March 10, 2020

HW Quiz – 6th hour!


RD

13

35o

8

?

V

C

W53o

8

10

?


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March 10, 2020

Now that you're finished with the HW Quiz, you should be working on completing #'s 118 on BOTH the

Law of Sines CW/HW&

Law of Cosines CW/HWThey are both due on Thursday at the beginning of the hour!


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March 10, 2020

Geometry – Closing Question – 3/10/20

None!

HW:

Problem #'s 226 even on the Law of Sines and Cosines Mixed Practice CW/HW worksheet


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March 10, 2020

Precalculus – Warmup – 3/10/20

Given z = 8[cos(323º) + iꞏsin(323º)],

find z4 and the cube roots of z


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March 10, 2020

Precalculus – Closing Question – 3/10/20

None

HW:

Chapter 6 Review #’s 119 odd, 2955 odd, 6179 odd, 107117 odd


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March 10, 2020

AP Physics – Warmup – 3/10/20

Sketch what this situation would look like at t = 1.5 seconds if t = 0 seconds is shown.

0x (m)

y (m)

8 m6 m4 m2 m

v = +2 m/s

A = 2.5 m

f = 1 Hz

v = –2 m/s

A = 2.5 m

f = 1 Hz


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March 10, 2020

According to the Principle of Superposition, how are two waves combined to produce a resultant wave?

a) The velocity vectors are added together.

b) The amplitudes of the two waves are added algebraically.

c) The amplitudes of the two waves are multiplied together.

d) Waves are always independent of each other and cannot be combined.


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March 10, 2020

Complete the following sentence: Destructive interference occurs when

a) two or more waves are present at the same place and the waves are exactly in phase.

b) two or more sound waves are present at the same place.

c) two or more waves are present at the same place and the resultant disturbance has zero amplitude.

d) two or more waves are present at the same place and a condensation meets a condensation.

e) two or more waves are present at the same place and a rarefaction meets a rarefaction.


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March 10, 2020

What is the relationship between two waves that are in phase if they combine for completely destructive interference?

What is the relationship between two waves that are in phase if they combine for completely constructive interference?


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March 10, 2020

Standing waves:• Require fixed ends• Are a result of wave superposition and reflection• Have nodes and antinodes• For any given length of string, there exists a "fundamental" frequency (aka

1st harmonic)• There are a bunch of other fun terms after "fundamental" (1st overtone/2nd

harmonic, 2nd overtone/3rd harmonic, etc.)• Watch this: https://www.youtube.com/watch?v=BSIw5SgUirg

https://www.youtube.com/watch?v=BSIw5SgUirg


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March 10, 2020


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March 10, 2020

AP Physics – Closing Question – 3/10/20

What is a standing wave?

HW:

Chapter 16 #’s 1, 3, 7, 9, 13, 17, 19, 27, & 29; Chapter 17 #’s 1, 3, 5, 7, 33, 36, & 37


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March 10, 2020

AP Physics – Closing Question – 3/6/19

Sketch the result of these two waves superimposed on each other:

HW:

Chapter 6 #’s 1, 3, 7, 9, 13, 17, 19, 27, & 29; Chapter 7 #’s 1, 3, 5, 7, 33, 36, & 37

Page 1: Feb 11-8:52 PMPage 2: Feb 24-8:34 AMPage 3: Feb 22-1:13 PMPage 4: Feb 11-8:52 PMPage 5: Feb 17-10:45 AMPage 6: Feb 17-10:45 AMPage 7: Feb 23-8:05 AMPage 8: Feb 22-6:24 PMPage 9: Feb 22-6:24 PMPage 10Page 11Page 12: Feb 11-8:52 PMPage 13: Feb 24-6:34 PMPage 14: Feb 22-11:42 AMPage 15: Feb 26-11:58 AMPage 16: Feb 26-11:58 AMPage 17: Mar 3-4:40 PMPage 18: Mar 6-8:56 PMPage 19: Mar 3-6:59 PMPage 20Page 21Page 22Page 23: Feb 26-11:58 AMPage 24: Feb 26-11:58 AM

Geometry – Warmup – 3/10/20 Please get out the Law of ...Geometry – Warmup – 3/10/20 Please get out the Law of Sines & Cosines Mixed Practice CW/HW (#'s127 odd) for check off

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