Question

Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R S is 5 StartRoot 3 EndRoot, the length of S Q is 10, and the length of R Q is 5.
Given right triangle QRS, what is the value of sin(30°)?

StartFraction StartRoot 3 EndRoot Over 3 EndFraction
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 Over 1 EndFraction

Answer 1

The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

• sine the acute angle (sin) = opposite side to it/hypotenuse
• cosine the acute angle (cos) = adjacent side to it/hypotenuse
• Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = $\frac{5}{10}$

∴ sin(30°) = $\frac{1}{2}$

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

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Answer 2

Answer:

one half (B)

Step-by-step explanation: