Law of Sines and Cosines Without Ambiguous Case

Which Law would you use to solve for angle C?

• Sine Law

• Cosine Law

• Tangent Law

• Dickie's Law

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to find side BC?

• Sine Law

• Cosine Law

• Pythagorean's Theorem

• SOH CAH TOA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the measure of ∠A

• 18
• 28
• 25
• 24

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find angle Z

• 20 degrees

• 71 degrees

• 51 degrees

• 57 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A pilot flying over Norfolk airport is told she will have to redirect and land in Raleigh. Find the distance that she will have to travel in order to land.

• 143 miles

• 127 miles

• 151 miles

• 160 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the measure of line segment AD. (Since no units are given, record your answer as just the number rounded to the nearest whole number.)

Note, this question is marked at the equivalent of 2 questions.

(a)  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A = 60° , a = 170 , b = 180

• 1 triangle is possible

• 2 triangles are possible

• a right triangle is possible

• No possible triangles

Tags

CCSS.7.G.A.2

Solve the ambiguous case and choose the corresponding answer for:

A = 10° , a = 10, b = 5

This question is graded equivalent to 5 questions, so please take your time.

• a > b

  B = 4.98° , C = 165.02° , c = 14.89

• h < a < b

  B = 39.73° , C = 139.73° , c = 18.45

  B = 59.68° , C = 140.32° , c = 10.32

• a > b

  B = 4.97° , C = 153.75° , c = 23

• No possible triangles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11