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Transcript
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PythagorasPythagorasSpecialSpecialRightRight

TrianglesTriangles

The TangentThe TangentRatioRatio

The SineThe Sine& Cosine& Cosine

RatiosRatios

WordWordProblemsProblems

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44

1313

xx

The value of x is thisThe value of x is this

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What isWhat is

3√17 3√17

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What is 6√5What is 6√5

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a²+b²>c² a²+b²>c² is this type of triangle is this type of triangle

(classified by its angles)(classified by its angles)

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What is acuteWhat is acute

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This theorem This theorem states that if states that if

a²+b²=c²,a²+b²=c², then the then the triangle is a right triangle is a right

triangle.triangle.

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What is the What is the Converse of Converse of

the the Pythagorean Pythagorean

TheoremTheorem

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3,4,5 & 5,12,13 3,4,5 & 5,12,13 are examples are examples

of these.of these.

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What is a What is a PythagoreaPythagorea

n Triplen Triple

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This is the value This is the value of xof x

55

45°45° 45°45°

xx

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What isWhat is5√25√2

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44

60°60°

30°30°

xx

This is the value of xThis is the value of x

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What isWhat is88

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77

60°60°

30°30°

xx

This is the value of xThis is the value of x

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What isWhat is7√37√3

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7760°60°

30°30°

xx

This is the value of xThis is the value of x

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What isWhat is7/2 or 3.57/2 or 3.5

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7760°60°

30°30°xx

This is the value of xThis is the value of x

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What isWhat is

(7√3)/2(7√3)/2

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This is the Definition ofThis is the Definition ofThe Tangent RatioThe Tangent Ratio

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What is What is opp/adjopp/adj

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1111

77

ƟƟ

This is value of tanThis is value of tanƟƟ

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What is What is 7/117/11

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1111

77

ƟƟ

This is value of tanThis is value of tanƟƟ

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What is What is 11/711/7

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22

ƟƟ

55

This is the value of ƟThis is the value of Ɵ

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What isWhat is22°22°

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22

23°23°

xx

This is the value of xThis is the value of x

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What isWhat is4.724.72

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This is the This is the definition of Sinedefinition of Sine

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What isWhat isopp/hypopp/hyp

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This is the definition This is the definition of Cosineof Cosine

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What isWhat isadj/hypadj/hyp

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77

1212

ƟƟ

This is the sinThis is the sinƟƟ

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What isWhat is7/127/12

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The value of sin49The value of sin49

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What isWhat is.7547.7547

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77

1515

ƟƟ

Determine the value of ƟDetermine the value of Ɵ

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What isWhat is28°28°

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You are standing near the You are standing near the Washington monument which is Washington monument which is

555 ft tall. The angle of 555 ft tall. The angle of elevation from your position to elevation from your position to the top of the monument is 37°. the top of the monument is 37°.

How far are you from the How far are you from the monument?monument?

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What is 736.5 ft

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The angle of elevation from The angle of elevation from the base to the top of a the base to the top of a

water slide is about 28°. water slide is about 28°. The horizontal length of The horizontal length of

the slide is about 45 ft. Find the slide is about 45 ft. Find the height of the slide.the height of the slide.

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What isWhat is23.9 ft23.9 ft

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You lean a 20 ft ladder You lean a 20 ft ladder against a wall. The against a wall. The

base of the ladder is 4 base of the ladder is 4 ft from the wall. What ft from the wall. What

angle Ɵ does the angle Ɵ does the ladder make with the ladder make with the

ground?ground?

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What isWhat is78°78°

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A chair lift on a ski slope A chair lift on a ski slope has an angle of elevation has an angle of elevation of 28° and covers a total of 28° and covers a total distance of 2000 ft. To distance of 2000 ft. To

the nearest ft, what is the the nearest ft, what is the vertical height covered vertical height covered

by the chair lift?by the chair lift?

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What is What is 1063.4 ft1063.4 ft

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You are designing a You are designing a ramp where the ramp where the

horizontal distance is horizontal distance is twice as long as the twice as long as the

vertical rise. What will vertical rise. What will be the ramp angle to the be the ramp angle to the

nearest tenth of a nearest tenth of a degree?degree?

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What isWhat is27°27°


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