Answer:
The value of x is 35°.
Step-by-step explanation:
According to the trigonometric ratios, in a right angled triangle
[tex]\sin \theta=\frac{opposite}{hypotenuse}[/tex]
From the given figure it is clear that the length of opposite side is 8 units and the length of the hypotenuse is units.
Substitute θ=x, opposite=8 and hypotenuse=14 to find the value of x.
[tex]\sin x=\frac{8}{14}[/tex]
Taking sin⁻¹ on both the sides.
[tex]\sin^{-1}\sin x=\sin^{-1}\frac{8}{14}[/tex]
[tex]x=\sin^{-1}\frac{8}{14}[/tex]
[tex]x=34.8499[/tex]
[tex]x\approx 35^{\circ}[/tex]
Therefore the value of x is 35°.
