Question

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

Answer 1

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

Given to us

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

Sine θ

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