Understanding Tangent in Right Triangles

This video tutorial introduces trigonometric ratios, focusing on the tangent ratio. It explains how to use the tangent ratio to solve for unknowns in right triangles, including practical examples. The tutorial also covers special right triangles and the concept of angle of elevation, demonstrating how these concepts can be applied in real-world scenarios.

What is the primary focus of trigonometric ratios in right triangles?

• The relationship between angles and the perimeter

• The relationship between angles and the area

• The relationship between angles and the legs

• The relationship between angles and the hypotenuse

How is the tangent of an angle defined in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

If a triangle has sides 3, 4, and 5, what is the tangent of the angle opposite the side of length 3?

• 1.33

• 0.67

• 1.25

• 0.75

What is the tangent of an angle in a right triangle if the opposite side is 5 and the adjacent side is 12?

• 0.42

• 0.67

• 0.83

• 0.58

In a right triangle, if the tangent of an angle is 1, what can be said about the triangle?

• The opposite and adjacent sides are equal

• The triangle is equilateral

• The triangle is isosceles

• The hypotenuse is equal to the opposite side

What is the result of dividing the opposite side by the adjacent side in a right triangle?

• The cosine of the angle

• The cotangent of the angle

• The sine of the angle

• The tangent of the angle

If the tangent of an angle is 0.5, what is the ratio of the opposite side to the adjacent side?

• 1:2

• 2:1

• 3:1

• 1:1

What is the tangent of a 45-degree angle in a right triangle?

• 1.5

• 0.75

• 0.5

• 1

What is the tangent of a 90-degree angle?

• Infinity

• Undefined

• 1

• 0

In a right triangle, if the opposite side is 7 and the adjacent side is 24, what is the tangent of the angle?

• 0.42

• 0.58

• 0.67

• 0.29