Answer:
x=11.3
Step-by-step explanation:
Hello There!
We can use trigonometry to solve for x
Remember these are the trigonometric ratios
SOHCAHTOA
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
We can use the angle that has a measure of 31 degrees
We are given the hypotenuse and we need to find its opposite side
hypotenuse and opposite corresponds with sine so we will use sine to create an equation
(remember sin = opposite over hypotenuse)
[tex]sin(31)=\frac{x}{22}[/tex]
now that we have created an equation we solve for x
step 1 multiply each side by 22
[tex]sin(31)*22=22sin(31)\\\frac{x}{22} *22=x\\x=22sin(31)\\sin(31)=0.5150380749\\0.5150380749*22=11.33083765\\x =11.33083765[/tex]
finally we round to the nearest tenth and get that x = 11.3