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If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?

21 units

24 units

27 units

30 units

I think its 24 but I don't know because its the hypotenuse.

Respuesta :

Answer:

27

Step-by-step explanation:

the answer is 27 because sine of f is opp/hyp and the opposite is 24. so if u multiply 8 by three you get 24, and if u multiply 9 by three u get 27.

abidemiokin

The measure of YX from the given triangle is 27 units

Trigonometry identity

According to the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin f° = 8/9 = opposite/hypotenuse

Given the following

Opposite = YW = 24 units

sin f° =YW/YX

8/9 = 24/YX

1/9 = 3/YX
YX = 27 units

Hence the measure of YX from the given triangle is 27 units

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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