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Brums [2.3K]
2 years ago
9

In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8. 3 EndFraction)?.

Mathematics
1 answer:
almond37 [142]2 years ago
6 0

The triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

<h2 /><h2>Given to us</h2>

\theta = sin^{-1}\dfrac{5}{8.3}

<h2>Sine θ</h2>

as we know that sine for any angle is the ratio of its perpendicular to the hypotenuse,  and trigonometry is only applicable to a right-angled triangle.

therefore,

\theta = sin^{-1}\dfrac{5}{8.3}\\\\sin \theta=\dfrac{5}{8.3}=\dfrac{Perpendicular}{Hypotenuse}\\

Hence, the triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

Learn more about Sine:

brainly.com/question/18055768

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