Question

Can someone please help me there is more answer choice but the picture is too big

Answer 1

The value of angle x is;

`40.7^(\circ)`

Step-by-step explanation:

We can observe that the triangle is a right angled triangle.

To get the value of angle x, let us apply Trigonometry;

`\begin{gathered} \sin \theta=(opposite)/(hypotenuse) \\ \theta=\sin ^(-1)((opposite)/(hypotenuse)) \end{gathered}`

opposite = 15

hypotenuse = 23

`\begin{gathered} x^(\circ)=\sin ^(-1)((15)/(23)) \\ x^(\circ)=40.7^(\circ) \end{gathered}`

Therefore, the value of angle x is;

`40.7^(\circ)`