Quiz on Laws of Sines and Cosines

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA
• c² = a² - b² - 2abcosC
• c² = a² + b² - 2abcosC
• (cos A)/a = (cos B)/b

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

• 707643.58
• 841.22
• 877.62
• 842.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23
• 23.19
• 22.15
• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: B = 70°, a = 11, C = 40° Find: c

• 11
• 7.5
• 70
• 8

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

LoC: Find x.

• 16.6
• 22.4
• 2.1
• 1.9

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AB

• 10.03
• 8.04
• 6.10
• 4.93

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

Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°
• A= 70°, B= 50.1°, C= 59.9°
• A= 50.1°, B= 70°, C= 59.9°
• A= 60°, B= 70°, C= 50°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• Soh-Cah-Toa

Will this make 1 triangle? 2 triangles? or no triangles?
A= 37°, a=8, b=14

• 1 Trianlge
• 2 Triangles
• No Triangles

Tags

CCSS.7.G.A.2