Question

What is the value of the sine of ZTRS? 1) 0.385 2) 0.923 3) 0.4166 4) 2.4

Answer 1

The sine of ∠ TRS is 0.385. Option 1 is answer.

Step-by-step explanation:

The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the opposite side is TR and the hypotenuse is TS. Since the triangle is a 30-60-90 triangle, we know that the lengths of TR and TS are in the ratio of 1:√3. Therefore, the sine of ∠ TRS is:

sin(∠ TRS) = TR/TS = (1/√3) / (1) = 1/√3 = 0.385

Therefore, the sine of ∠ TRS is 0.385. Option 1 is answer.

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Complete Question

What is the value of the sine of ∠ TRS ? A 2.4 B 0.923 C 0.4167 D 0.385

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