Tangent Ratios and Triangle Problems

In this video, the Math Magician demonstrates how to use the tangent ratio to solve for unknown sides of a right triangle. The example involves a triangle with a slope angle of 41 degrees and an opposite side of 7 units. The process includes setting up the tangent ratio, solving the equation by cross-multiplying, and using a calculator to find the missing side. The video concludes with tips on correctly setting up tangent ratios, emphasizing the importance of knowing whether the variable is in the numerator or denominator.

What is the main concept introduced in this video?

• Cosine ratio

• Pythagorean theorem

• Sine ratio

• Tangent ratio

What is the slope angle of the triangle discussed in the video?

• 41 degrees

• 30 degrees

• 90 degrees

• 60 degrees

In the triangle, what is the value of the opposite side to the 41-degree angle?

• 5

• 8

• 6

• 7

What is the value of delta y in the triangle?

• 5

• 6

• 7

• 8

What is the value of delta x in the triangle?

• x

• y

• z

• w

What is the formula for the tangent ratio?

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Adjacent over Opposite

What is the purpose of setting up the tangent ratio?

• To find the hypotenuse

• To find the area

• To find the angle

• To find the unknown side

What is the next step after setting up the tangent ratio equation?

• Divide the fractions

• Cross-multiply the fractions

• Subtract the fractions

• Add the fractions

What is the result of cross-multiplying the tangent ratio equation?

• y times tangent of 41 equals 7

• y plus tangent of 41 equals 7

• y minus tangent of 41 equals 7

• y divided by tangent of 41 equals 7

What operation is performed to isolate y in the equation?

• Multiplication

• Subtraction

• Division

• Addition