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Sine Ratio Worksheet

This worksheet focuses on understanding and applying the sine ratio in right-angled triangles for Grade 10 students.

Grade 10 Math TrigonometrySine Ratio
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Includes

Fill in the Blanks3 Short AnswerMultiple Choice

Standards

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

Topics

MathTrigonometrySine RatioGrade 10
7 sections · Free to use · Printable
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Sine Ratio Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. In a right-angled triangle, the sine of an angle is defined as the ratio of the length of the   side to the length of the  .

2. The acronym used to remember the trigonometric ratios is  .

For the right-angled triangle shown below, calculate sin(A) and sin(B). Round your answers to two decimal places.

CBA12513

sin(A) =

sin(B) =

1. If sin(θ) = 0.5, what is the approximate value of θ to the nearest degree?

a

30°

b

45°

c

60°

d

90°

2. In a right-angled triangle, if the opposite side is 8 units and the hypotenuse is 10 units, what is the sine of the angle opposite the 8-unit side?

a

0.6

b

0.8

c

1.0

d

1.25

Use the sine ratio to find the length of the missing side 'x' in the triangle below. Round your answer to one decimal place.

CBAx1530°

x =

A ladder leans against a wall, making an angle of 65° with the ground. If the ladder is 12 meters long, how high up the wall does it reach? Round your answer to one decimal place.