Answer:
[tex]\Huge\boxed{29.3}[/tex]
Step-by-step explanation:
Hello There!
Remember The Trigonometric Ratios
Sin = opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = opposite divided by adjacent
We need to find the measure of angle X given the opposite side length and hypotenuse
Opposite and hypotenuse correspond with sine so we are going to use sine to solve for x
We create an equation: [tex]sin(x)=\frac{43}{88} \\[/tex]
[tex]\frac{43}{88} =.4886363636\\sin(x)=.4886363636[/tex]
Now we want to get rid of the sin
To do so we take the inverse of sin (which would be arcsin) and apply it to each side
[tex]arcsin^-^1(sinX)=x\\arcsin^-^1(.4886363636)=29.25099306[/tex]
finally we round to the nearest tenth
we're left with x = 29.3