[tex]\displaystyle\\\\\sin \theta=\frac{5}{10}=\frac{1}{2}\\ \\\implies~~\boxed{\bf m(\sphericalangle\,\theta)=30^o}[/tex]
Answer:
Measure of [tex]angle\:\theta[/tex] is 30°
Step-by-step explanation:
Given:
The Hypotenuse of Right Triangle = 10 inches.
Measure of side opposite to [tex]angle\:\theta[/tex] = 5 inches
We have to find Measure [tex]angle\:\theta[/tex].
We know that,
[tex]Sine\:of\:an\:angle=\frac{Opposite\:Side}{Hypotneous}[/tex]
So,
[tex]sin\,\theta=\frac{5}{10}[/tex]
[tex]sin\,\theta=\frac{1}{2}[/tex]
[tex]\theta=sin^{-1}\,(\frac{1}{2})[/tex]
[tex]\theta=30^{\circ}[/tex]
Therefore, Measure of [tex]angle\:\theta[/tex] is 30°
