Grade 9 Sine Ratio Worksheet

Explore the sine ratio in right-angled triangles with this Grade 9 worksheet, featuring problems on finding unknown sides and angles.

Grade 9 Math TrigonometrySine Ratio

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Includes

4 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

MathTrigonometrySine RatioGrade 9

8 sections · Free to use · Printable

Sine Ratio in Right-Angled Triangles

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Read each question carefully and show all your work. Round your answers to two decimal places where appropriate.

1. For the given right-angled triangle, identify the opposite side, adjacent side, and hypotenuse relative to angle A.

Opposite to A:

Adjacent to A:

Hypotenuse:

2. The sine ratio of an acute angle in a right-angled triangle is defined as the ratio of the length of the side to the length of the .

3. In a right-angled triangle, if the side opposite to angle X is 8 cm and the hypotenuse is 10 cm, what is sin(X)?

4. Find the length of side 'x' in the triangle below. Round your answer to two decimal places.

5. Find the measure of angle 'θ' in the triangle below. Round your answer to one decimal place.

6. Which of the following statements is true for angle Y in a right-angled triangle?

sin(Y) = Opposite / Adjacent

sin(Y) = Hypotenuse / Opposite

sin(Y) = Opposite / Hypotenuse

sin(Y) = Adjacent / Hypotenuse