Use the Law of Sines to Solve, If Possible, the Triangle

question 116

Multiple Choice

Use the Law of Sines to Solve, if Possible, the Triangle or Triangles in the Ambiguous Case
- $$\mathrm { B } = 112 ^ { \circ } , \mathrm { b } = 4 , \mathrm { a } = 25$$

• A) no triangle
• B) \(\mathrm { A } = 57 ^ { \circ } , \mathrm { C } = 12 ^ { \circ } , \mathrm { c } = 33\)
• C) \(\mathrm { A } = 56 ^ { \circ } , \mathrm { C } = 12 ^ { \circ } , \mathrm { c } = 29\)
• D) \(\mathrm { A } = 55 ^ { \circ } , \mathrm { C } = 12 ^ { \circ } , \mathrm { c } = 31\)

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Definitions:

Make Restitution

The act of compensating for loss, damage, or injury caused, often in the context of legal or financial remedies.

Personal Performance

The execution of tasks or duties by an individual based on their own skills and efforts.

Reasonable Person

A hypothetical individual who exercises average care, skill, and judgment in conduct, serving as a legal standard.

Mutual Rescission

An agreement between the parties to cancel their contract, releasing the parties from further obligations under the contract. The object of the agreement is to restore the parties to the positions they would have occupied had no contract ever been formed.