Using tangent to find the missing length of a triangle

The video tutorial explains how to identify the sides of a right triangle, focusing on the hypotenuse, adjacent, and opposite sides. It introduces trigonometric functions—sine, cosine, and tangent—and demonstrates how to use the tangent function to solve for an unknown side of a triangle when given an angle and one side length. The tutorial emphasizes the importance of using a calculator in degree mode to find the solution.

Which side of a right triangle is always opposite the right angle?

• Adjacent side

• Base

• Opposite side

• Hypotenuse

How is the adjacent side of a right triangle defined in relation to a given angle?

• It is the longest side of the triangle.

• It is the side opposite the given angle.

• It is the side that forms the right angle with the hypotenuse.

• It is the side that connects the given angle to the right angle.

What is the sine of an angle in a right triangle?

• The ratio of the opposite side to the hypotenuse

• The ratio of the adjacent side to the hypotenuse

• The ratio of the hypotenuse to the opposite side

• The ratio of the opposite side to the adjacent side

Which trigonometric function is used when the hypotenuse is not involved?

• Cosine

• Secant

• Sine

• Tangent

If the tangent of a 52-degree angle is used to find the opposite side, what is the formula?

• X = tan(52) * 13

• X = tan(52) / 13

• X = 13 * tan(52)

• X = 13 / tan(52)