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Grade 9 Math: Tangent Function Worksheet

Explore the tangent function in right-angled triangles with this Grade 9 math worksheet, covering definitions, calculations, and problem-solving.

Grade 9 Math TrigonometryTangent Function
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.6CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

MathTrigonometryTangent FunctionGrade 9
7 sections · Free to use · Printable
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Grade 9 Math: Tangent Function

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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems. Round your answers to two decimal places where necessary.

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

a

Opposite / Hypotenuse

b

Adjacent / Hypotenuse

c

Opposite / Adjacent

d

Adjacent / Opposite

2. If tan(θ) = 1, what is the value of θ in degrees?

a

30°

b

45°

c

60°

d

90°

3. In a right-angled triangle, the side opposite to the right angle is called the  .

4. The tangent of an angle is the ratio of the opposite side to the   side.

12 cm5 cmABC

5. For the right-angled triangle ABC shown, with the right angle at C, if AC = 5 cm and BC = 12 cm, calculate tan(A).

8 m?XYZ35°

6. In right-angled triangle XYZ, with the right angle at Z, if angle X = 35° and the adjacent side XZ = 8 m, find the length of the opposite side YZ.

7. The tangent function can only be used in right-angled triangles.

T

True

F

False

8. As an acute angle in a right triangle increases, its tangent value also increases.

T

True

F

False

9. A ladder leans against a wall, making an angle of 65° with the ground. If the base of the ladder is 2 meters from the wall, how high up the wall does the ladder reach?