Question

SOMEONE PLEASE HELP! I need to find the value of X and round to the nearest tenth

Answer 1

We know that the sine of an angle is equal to the opposite of this angle (which is 20) divided by the hypotenuse (30). This translates to $sin(x)=\frac{20}{30}$

To solve this equation, we first have to get x to one of the equation's sides. To accomplish this, we will apply sine inverse to both ends.

$sin^{-1}(sin(x))=sin^{-1}(\frac{20}{30} )$

Remember that $sin^{-1}(sin(\theta))=\theta$

$x=sin^{-1}(\frac{20}{30} )$

Simplify using your calculator and that will give us $x=41.8\°$