The value of angle x is 57.1 degrees.
Here we have given an angle is 38degee and the sides of the triangle are 11cm and 8 cm.
What is the formula for sin ratio?
[tex]sin(x)=\frac{opposite side }{hypotenuse}[/tex]
Therefore by using the formula for the attached figure we have
[tex]sin(38^0)=\frac{y}{11}\\\\y=11sin(38^0)\\\\y=6.71[/tex]
Similarly, for the second triangle for the value of x
we have,
[tex]sinx=y/8=6.71/8=0.84\\\\x=sin^-1(0.84)=57.1^0[/tex]
Therefore we get the value of angle x is 57.1 degrees.
To learn more about the triangle visit:
https://brainly.com/question/17335144
