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.
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Standards
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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?
Opposite / Hypotenuse
Adjacent / Hypotenuse
Opposite / Adjacent
Adjacent / Opposite
2. If tan(θ) = 1, what is the value of θ in degrees?
30°
45°
60°
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.
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).
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.
True
False
8. As an acute angle in a right triangle increases, its tangent value also increases.
True
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?
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