Question

Please Help!!! Find the value of x. Round to the nearest degree.

Answer 1

Using a calculator, use the inverse of sin to get your answer here. Make sure your calculator is in degree mode and not radian mode.
Sin^-1(11/12) = 66.443
The nearest degree is 66 degrees.

Answer 2

`x\°=66\°`

Explanation:

We know that the sine function is defined as:

`sin(\alpha)=(Opposite)/(Hypotenuse)`

Therefore it is fulfilled that:

Opposite: is the length of the side opposite angle x°

Hypotenuse: It is the length of the side opposite the angle of 90 °

So:

Opposite=11

Hypotenuse =12

Therefore

`sin(x\°)=(11)/(12)`

We solve the function for the variable x. Then we apply the inverse function of the sine on both sides of equality

`sin^(-1)(sin(x\°))=sin^(-1)((11)/(12))`

`x\°=sin^(-1)((11)/(12))`

`x\°=66.44\°`