Respuesta :

Answer:

The value of x to the nearest tenth is, 15.5 degree

Step-by-step explanation:

Given that: [tex]\Sin x = \frac{4}{15}[/tex]

To find the value of x;

Take inverse of sin both sides we have;

[tex]\sin^{-1}(\sin x) = \sin^{-1}(\frac{4}{15})[/tex]

Simplify:

[tex]x = \sin^{-1}(\frac{4}{15})[/tex]

Simplify:

[tex]x = 15.46601015^{\circ}[/tex]

Therefore, the value of x to the nearest tenth is, 15.5 degree

Answer:

x =15.5

Step-by-step explanation:

sin x = 4/15

Take the arcsin of each side

arcsin (sin x) = arcsin(4/15)

x = arcsin (4/15)

x =15.46600995

Rounding to the nearest tenth

x =15.5