November 17, 2017

HW Check:

5-100 to 5-105

November 17, 2017

Objective(s): You will use PT, triangle sum, trig, inverse trig, LoS & LoC to solve triangles you construct from provided contexts.

Agenda:• Review HW (Teams)• Review LoS/LoC (Class)• Complete 5-97 & 5-98 if not previously done

(Teams, in Spirals)• Complete 5-118 to 5-121 (Teams, in Spirals)• Record/Begin HW (Class / Individual):

> 5-126 to 5-132;> LoS/LoC Foldable on INB p113: Include

Examples (with complete work) for each indicated case.

November 17, 2017

November 17, 2017

A'

C'

B'

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November 17, 2017

Objective:

Apply your current triangle tools (Pythagorean Theorem, trigonometric ratios, the Law of Sines, and the Law of Cosines) to solve multiple problems and applications.

November 17, 2017

November 17, 2017

November 17, 2017

If you completed 5-97 & 5-98 yesterday, proceed to Class Work [see below]; if you need a few minutes to finish 5-97 & 5-98, use time for that now.

CW: 5-118 to 5-121HW: 5‑126 to 5‑132;

LoS/LoC Foldable on INB p113

November 17, 2017

L-o-S L-o-Ctan-1

c2 = a2 + b2 – 2ab•CosC

November 17, 2017

L-o-S L-o-Ctan-1

c2 = a2 + b2 – 2ab•CosC

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November 17, 2017

102 = 72 + 82 – 2•7•8•Cos α

100 = 49 + 64 – 112•Cos α –13 = –112•Cos α

13/112 = Cos α

Cos-1 (13/112) = α

83.3° ≈ α

c = 10 a = 7 b = 8 C = α

November 17, 2017

83.3°

10

87

α

βΘ

November 17, 2017

83.3°

10

87

α

βSinβ Sin 83.3°

8 10=

Sinβ 8•Sin 83.3°

10=Sinβ

Sinβ ≈ 0.795

Sin-1(Sinβ) ≈ Sin-1(0.795)

β ≈ 52.6°

52.6°

LoS

Θ = 180° – 83.3° – 52.6°

Θ = 44.1°

Θ

November 17, 2017

INB 49

November 17, 2017

INB 63

CPM

318

November 17, 2017

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

November 17, 2017

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

November 17, 2017

79°

684'

53°

d

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

5-118

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CW

: 5-1

18 to

5-1

21

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800 ft

5-119

68°

694 ft

d

November 17, 2017

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

November 17, 2017

23° 60°

2 ft

x

5-120 CW: 5-118 to 5-121HW: 5‑126 to 5‑132

November 17, 2017

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

November 17, 2017

CW: 5-118 to 5-121HW: 5‑126 to 5‑132

5-121

November 17, 2017

Objective:

Apply your current triangle tools (Pythagorean Theorem, trigonometric ratios, the Law of Sines, and the Law of Cosines) to solve multiple problems and applications.

November 17, 2017

Homework:

5-126 to 5-132;

LoS/LoC Foldable on INB p113

November 17, 2017

HW Check: 5‑126 to 5‑132

November 17, 2017