Adding and Subtracting Rational Expressions

Which set of triangle information suggests the use of the Law of Sines?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Right-Angle-Side (RAS)

• Side-Angle-Side (SAS)

What is the result of using the Law of Sines in an ambiguous case?

• All of the above

• No solution

• Two solutions

• One solution

How do you find the third angle in a triangle when two angles are known?

• Add the two angles and subtract from 90

• Add the two angles and subtract from 180

• Multiply the two angles

• None of the above

What is the first step when given Side-Angle-Side (SAS) in using the Law of Cosines?

• None of the above

• Use the Law of Sines instead

• Calculate the unknown angle

• Calculate the unknown side

Which formula is correct for the Law of Cosines?

• c^2 = a^2 + b^2 + 2ab*cos(C)

• c^2 = a^2 + b^2 - 2ab*cos(C)

• c = a + b - 2ab*cos(C)

• c = sqrt(a^2 + b^2 - 2ab*cos(C))

In real-world applications, how is the Law of Sines useful in finding distances?

• Calculating heights of buildings

• Navigating between cities

• Predicting weather patterns

• None of the above

What is the bearing from one city to another if the initial bearing is south and turns west by 29 degrees?

• South 61 degrees West

• North 61 degrees East

• South 29 degrees West

• West 29 degrees South

How do you calculate the distance between two points using the Law of Sines?

• Using the cosine of the known angle and one side

• Using the sine of the known angle and one side

• None of the above

• Using the tangent of the known angle and one side

What method is used to find the distance between two ships given their bearings and distances from a port?

• Law of Cosines

• None of the above

• Pythagorean Theorem

• Law of Sines

When calculating bearings, what geometric concept is often used to find related angles?

• Triangles and centroids

• Squares and diagonals

• Parallel lines and transversals

• Circles and tangents