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

Answer:

$x\°=66\°$

Step-by-step explanation:

We know that the sine function is defined as:

$sin(\alpha)=\frac{Opposite}{Hypotenuse}$

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

$sin(x\°)=\frac{11}{12}$

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

$sin^{-1}(sin(x\°))=sin^{-1}(\frac{11}{12})$

$x\°=sin^{-1}(\frac{11}{12})$

$x\°=66.44\°$