Using the Tangent Function

Hypotenuse - the side across from the 90 degree symbol (the little square)

Opposite - The leg on the opposite side of the triangle from the angle

Adjacent - The leg that is next to (adjacent to) the angle.

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Parts of The Triangle

Labeling

Label the hypotenuse, opposite, and adjacent sides of the triangle if C is the angle of interest. Assume B is the 90 degree angle.

Drag labels to their correct position on the image

Adjacent

Opposite

Hypotenuse

Labeling

Label the hypotenuse, opposite, and adjacent sides of the triangle if A is the angle of interest. Assume B is the 90 degree angle.

Drag labels to their correct position on the image

Adjacent

Hypotenuse

Opposite

Equation

Tangent is abbreviated to “tan” in math, and on the calculator.

The Tangent Function of a specific angle is the ratio of the length of the side that is opposite to that angle to the length of the side that is adjacent to that angle.

Defined

Tangent Function

​Two types of Examples:

​Example 1: Solve for x

​Two types of Examples:

​Example 2: Solve for x

Math Response

Solve for x in the given triangle.

Type answer here

Correct Answer: 7.0

Deg^°

Rad

Math Response

Solve for x in the given triangle.

Type answer here

Correct Answer: 8.1

Deg^°

Rad