triangles i 100 50 25 10 5 triangles ii anglesangles graphsgraphs misc.misc. review for test 2 100...

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Triangles I Triangles I 100 50 25 10 5 Triangles Triangles II II Angle Angle s s Graphs Graphs Misc. Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 Chapter 6 and 7 Review for Test 2 Final Round

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Page 1: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Triangles ITriangles ITriangles ITriangles I

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Triangles IITriangles IITriangles IITriangles II AngleAngless

AngleAngless

GraphsGraphsGraphsGraphs Misc.Misc.Misc.Misc.

Review for Test 2Review for Test 2

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Chapter 6 and 7Chapter 6 and 7Review for Test 2Review for Test 2

Final Round

Page 2: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Triangle I

Page 3: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

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cos(x)=3/4cos(x)=3/4

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5 Point Question5 Point Question

In the right triangle below, what In the right triangle below, what is cos(x)?is cos(x)?

xx

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445

Page 4: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Based on the triangle below, find Based on the triangle below, find cot(x).cot(x).

10 Point Question10 Point Question

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Cot(x)=3/Cot(x)=3/√5 √5 xx

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445

Page 5: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

12.5 in, 36.912.5 in, 36.900, and 53.1, and 53.100

25 Point Question25 Point QuestionOne side of a right triangle is 7.5 in. The One side of a right triangle is 7.5 in. The other side is 10 in. Find the length of the other side is 10 in. Find the length of the hypotenuse and the size of the two angles.hypotenuse and the size of the two angles.

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Page 6: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Sin(A) = √21/5 and Sin(A) = √21/5 and Tan(B)=2/√21Tan(B)=2/√21

50 Point Question50 Point Question

In the right triangle (right angle at C,) In the right triangle (right angle at C,) Cos(A) = 2/5. Find an expression for Cos(A) = 2/5. Find an expression for Sin(A) and Tan(B).Sin(A) and Tan(B).

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Page 7: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

How tall is a tree if the angle How tall is a tree if the angle of elevation is 70of elevation is 7000 when you when you are standing 22 feet from its are standing 22 feet from its base.base.

100 Point Question100 Point Question

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60.44 ft.60.44 ft.

Page 8: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Triangle 2

Page 9: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

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C = 80C = 8000

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A = 25A = 2500, c = 12, B = 75, c = 12, B = 7500. . Find C.Find C.

5 Point Question5 Point Question

Page 10: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

10 Point Question10 Point Question

A = 25A = 2500, c = 12, B = 75, c = 12, B = 7500. . Find a and b.Find a and b.

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a = 5.15, b = 11.77a = 5.15, b = 11.77

Page 11: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

25 Point Question25 Point Question

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A = 68A = 6800, b = 11 ft, c = 15 ft. Find B, C , b = 11 ft, c = 15 ft. Find B, C and a.and a.

a = 14.9 ft, B = 43.2a = 14.9 ft, B = 43.200, C = 68.8, C = 68.800

Page 12: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

a = 6, b = 8, c = 12. Find A, B and a = 6, b = 8, c = 12. Find A, B and C.C.

50 Point Question50 Point Question

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A = 26.4A = 26.400, B = 36.3, B = 36.300, C = , C = 117.2117.200

Page 13: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

A = 47A = 4700, b = 12, a = 9. Find B, C, and c., b = 12, a = 9. Find B, C, and c.

100 Point Question100 Point Question

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Triangle 1: B = 77.2Triangle 1: B = 77.200, C = 55.8, C = 55.800, c = , c = 10.210.2

Triangle 2: B = 102.8Triangle 2: B = 102.800, C = 30.2, C = 30.200, c = , c = 6.26.2

Page 14: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Angles

Page 15: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Convert 120 degrees to Convert 120 degrees to radiansradians

5 Point Question5 Point Question

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2 Pi/32 Pi/3

Page 16: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Convert 7 radians to degreesConvert 7 radians to degrees

10 Point Question10 Point Question

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1260/Pi1260/Pi

Page 17: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

25 Point Question25 Point Question

How long is the crust on a How long is the crust on a piece of pizza if the slice is piece of pizza if the slice is cut at a 30cut at a 3000 angle and the angle and the

radius is 6 in.radius is 6 in.

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3.1415926… (PI!)3.1415926… (PI!)

Page 18: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

15 radians or 15 radians or 859.4859.400

A cable is wrapped around a drum A cable is wrapped around a drum with a 6 foot diameter. If we want to with a 6 foot diameter. If we want to unroll 45 feet of cable, through what unroll 45 feet of cable, through what angle do we need to rotate the drum?angle do we need to rotate the drum?

50 Point Question50 Point Question

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Page 19: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Find another angle between 0 and 360 Find another angle between 0 and 360 degrees that has the same cosine as degrees that has the same cosine as

cos(15cos(15oo))

345345oo

100 Point Question100 Point Question

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Page 20: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Graphs

Page 21: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

2 Pi2 Pi

5 Point Question5 Point Question

What is the period of y = sin (x)?What is the period of y = sin (x)?

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Page 22: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

What is the amplitude of y = 7 What is the amplitude of y = 7 cos(2x)cos(2x)

10 Point Question10 Point Question

77

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Page 23: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Sketch the graph of y = 3sin(4x - Pi)Sketch the graph of y = 3sin(4x - Pi)

25 Point Question25 Point Question

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Page 24: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

50 Point Question50 Point Question

Sketch the graph of y = -2cos(4x) + 3Sketch the graph of y = -2cos(4x) + 3

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Page 25: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

100 Point Question100 Point Question

Find the equation for a sine function:Find the equation for a sine function:

Y=3sin(Pi x-Pi/2)+4Y=3sin(Pi x-Pi/2)+4

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Page 26: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

Miscelaneous

Page 27: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

What family member will we What family member will we be celebrating on Sunday be celebrating on Sunday

May 14th?May 14th?

5 Point Question5 Point Question

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Our MotherOur MotherBecause it is Mother’s DayBecause it is Mother’s Day

Page 28: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

What is the capitol of What is the capitol of Washington State?Washington State?

10 Point Question10 Point Question

OlympiaOlympia

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Page 29: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

25 Point Question25 Point Question

Who is the King of Pop?Who is the King of Pop?

Michael JacksonMichael Jackson

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Page 30: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

50 Point Question50 Point Question

Who is the King of Rock and Who is the King of Rock and Roll?Roll?

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Elvis!Elvis!

Page 31: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

According to the Current, how much According to the Current, how much did I get paid last year?did I get paid last year?

100 Point Question100 Point Question

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$50,245$50,245

Page 32: Triangles I 100 50 25 10 5 Triangles II AnglesAngles GraphsGraphs Misc.Misc. Review for Test 2 100 50 25 10 5 100 50 25 10 5 100 50 25 10 5 100 50 25

In any right triangle, the In any right triangle, the sum of the squares of the sum of the squares of the two sides is equal to the two sides is equal to the

square of the hypotenusesquare of the hypotenuse

State (in words) the Pythagorean State (in words) the Pythagorean TheoremTheorem

Final QuestionFinal Question

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