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Answer: option c.
Step-by-step explanation:
You need to remember the identity:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
The inverse of the sine function is arcsine. You need to use this to calculate the angle "S":
[tex]\alpha =arcsin(\frac{opposite}{hypotenuse})[/tex]
You know that you need to find the measure of "S" and [tex]t=38.5[/tex] (which is the hypotenuse) and [tex]s=31.4[/tex] (which is the opposite side), then you can substitute values into [tex]\alpha =arcsin(\frac{opposite}{hypotenuse})[/tex]
Then, you get:
[tex]S=arcsin(\frac{31.4}{38.5})\\\\S=54.6\°[/tex]
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Rewritten by : Barada
Answer:
The correct answer option is C. S = 54.6°.
Step-by-step explanation:
We are given a right angled triangle with two known sides, [tex]s[/tex] and [tex]t[/tex].
We are to find the value of the angle [tex]S[/tex].
For that, we will use sine.
[tex] sin S = \frac { s } { t } [/tex]
[tex] sin S = \frac { 3 1 . 4 } { 3 8 . 5 } [/tex]
[tex] S = sin'0.815 [/tex]
S = 54.6°
