Question

What is x? how would i find the value of x?

Answer 1

Given:

Find-:

The value of "x"

Explanation-:

Use trigonometric property:

`\sin\theta=\frac{\text{ Perpendicular}}{\text{ Hypotenuse}}`

In triangle ABC

`\begin{gathered} AB=\text{ Hypotenuse} \\ \\ BC=\text{ Perpendicular} \end{gathered}`

Angle is "x"

`\begin{gathered} \sin x=(BC)/(AB) \\ \\ \sin x=(4)/(19) \\ \\ x=\sin^(-1)((4)/(19)) \\ \\ \end{gathered}`

The angle "x" is:

`\begin{gathered} x=\sin^(-1)((4)/(19)) \\ \\ x=\sin^(-1)(0.2105) \\ \\ x=12.15^(\circ) \end{gathered}`

The angle is 12.15