Sine Law Ambiguous

• Two Triangles

• One Triangle

• None

Find the indicated angle.

Solve the Triangle(s): A = 26^o, a = 5, b = 9

• no triangle possible

• B = 14^o, C = 21^o, c = 8.7

• B = 52^o, C = 102^o, c = 11.2

• B = 52^o , C = 102^o, c = 11.2

  OR

  B = 128^o, C = 26^o, c = 5.0

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9

What is the measure of angle A?

Find the length of side AC.

• 12

• 10

• 23

• 14

What is the measure of angle A?

What is an ambiguous case in the context of the Law of Sines?

• A scenario where only right triangles are involved

• A case where no triangle exists

• A situation where two different triangles could satisfy the given conditions

• A condition where all angles are known but no sides

What is the Law of Sines used for in trigonometry?

• To solve oblique triangles

• To calculate the hypotenuse of a right triangle

• To find the radius of a circle

• To define the relationship between the sides and angles of a parallelogram

Which scenario is an example of using the Law of Sines?

• Measuring the height of a building using a right triangle

• Determining the volume of a sphere

• Calculating the circumference of a circle

• Finding the area of an oblique triangle using the sine function