Question

The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches long.

The measure of ∠θ is?

Answer 1

`\displaystyle\\\\\sin \theta=(5)/(10)=(1)/(2)\\ \\\implies~~\boxed{\bf m(\sphericalangle\,\theta)=30^o}`

Answer 2

Measure of
`angle\:\theta` is 30°

Explanation:

Given:

The Hypotenuse of Right Triangle = 10 inches.

Measure of side opposite to
`angle\:\theta` = 5 inches

We have to find Measure
`angle\:\theta`.

We know that,

`Sine\:of\:an\:angle=(Opposite\:Side)/(Hypotneous)`

So,

`sin\,\theta=(5)/(10)`

`sin\,\theta=(1)/(2)`

`\theta=sin^(-1)\,((1)/(2))`

`\theta=30^(\circ)`

Therefore, Measure of
`angle\:\theta` is 30°