Tangent Function Practice

A Grade 8 math worksheet focusing on understanding and calculating the tangent function in right-angled triangles.

Grade 8 Math TrigonometryTangent Function

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.B.7CCSS.MATH.CONTENT.8.G.B.8

Topics

mathtrigonometrytangentright trianglegrade 8

6 sections · Free to use · Printable

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Tangent Function Practice

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Read each question carefully and answer to the best of your ability. Use the formula: tan(θ) = Opposite / Adjacent. Round all answers to two decimal places where necessary.

1. In a right-angled triangle, the tangent of an angle is the ratio of which two sides?

Adjacent / Hypotenuse

Opposite / Hypotenuse

Opposite / Adjacent

Hypotenuse / Opposite

2. If the opposite side is 12 units and the adjacent side is 5 units, what is the tangent of the angle?

0.42

2.40

1.20

0.83

3. The tangent of a 45-degree angle in a right triangle is always .

4. In a right triangle, the side opposite to the angle is 8 units and the adjacent side is 10 units. The tangent of the angle is .

5. Consider the right-angled triangle below. Calculate the tangent of angle A.

6. A ladder leans against a wall, forming a 60-degree angle with the ground. If the base of the ladder is 3 meters from the wall, what is the height the ladder reaches on the wall? (Hint: Use the tangent function)

7. The tangent function can be used in any type of triangle.

True

False

8. If tan(θ) = 1, then θ must be 45 degrees.

True

False