Sine Ratio Practice
This worksheet provides practice problems for understanding and applying the sine ratio in right-angled triangles for Grade 8 math students.
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Sine Ratio Practice
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Read each question carefully and show all your work. Use the provided right-angled triangles to answer the questions about the sine ratio. Round your answers to two decimal places where necessary.
1. In a right-angled triangle, the sine of an angle is defined as the ratio of the length of the side to the angle to the length of the .
2. The formula for the sine ratio is sin(angle) = / .
Use the diagram below to identify the opposite side, adjacent side, and hypotenuse relative to angle A.
3. Opposite side to angle A:
4. Hypotenuse:
For the given right-angled triangle, calculate sin(X).
5. sin(X) =
Use the sine ratio to find the length of the missing side 'x' in the triangle below. Round your answer to two decimal places.
6. x =
7. Which of the following is the correct sine ratio for angle θ?
Opposite / Adjacent
Adjacent / Hypotenuse
Opposite / Hypotenuse
Hypotenuse / Opposite
8. If sin(45°) ≈ 0.707, and the hypotenuse of a right triangle is 10 units, what is the approximate length of the side opposite the 45° angle?
7.07 units
10 units
14.14 units
5 units