Question

Find the value of x. Round your answer to the nearest tenth sin x degree= 4/15

Answer 1

x =15.5

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

Answer 2

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

Explanation:

Given that:
`\Sin x = (4)/(15)`

To find the value of x;

Take inverse of sin both sides we have;

`\sin^(-1)(\sin x) = \sin^(-1)((4)/(15))`

Simplify:

`x = \sin^(-1)((4)/(15))`

Simplify:

`x = 15.46601015^(\circ)`

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