Answer:
x = 33 ( rounded to the nearest whole )
x = 33.1 ( rounded to the nearest tenth )
x = 33.06 ( rounded to the nearest hundredth )
Step-by-step explanation:
We can solve for x using trigonometry
Remember these are the "common" trig ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For angle "x" we are given it's opposite side length (6) and the hypotenuse (11)
When working with the opposite side length and hypotenuse we use trig ratio Sine.
Recall that sin = opposite over hypotenuse
Thus, [tex]sin(x)=\frac{6}{11}[/tex]
We then want to isolate "x"
To do so we need to get rid of the "sin"
We can do this by multiplying each side by the inverse of sin ( sin ) ^-1
[tex]sin(x)*sin^-^1=x\\sin^-^1(\frac{6}{11}) =33.05573115[/tex]
we're left with x = 33.05573115
