Question

Find the value of x in the givenright triangle.107хx = [?]°Enter your answer as a decimal rounded to thenearest tenth.Enter

Answer 1

44.4°

Explanation:

The value of x can be calculated by means of the trigonometric ratio sine, just like this:

`\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 7} \\ \text{hypotenuse = 10} \\ \theta=x \end{gathered}`

replacing and solving for x:

`\begin{gathered} \sin x=(7)/(10) \\ x=\arcsin ((7)/(10)) \\ x=44.4\text{\degree} \end{gathered}`

The value of x is 44.4°