Answer:
51.1°
Step-by-step explanation:
This question asks for the approximate value of the angle [tex]\theta[/tex]
It is at E.
Looking at the right triangle (right angle at F), we can see, with respect to the angle [tex]\theta[/tex]:
The side "7" is opposite
The side "9" is the hypotenuse (side opposite of 90 degree angle is hypotenuse)
Which trig ratio relates "opposite" and "hypotenuse"??
It is sine!
So, we can write:
[tex]Sin(\theta)=\frac{7}{9}[/tex]
We will need a calculator to solve for [tex]\theta[/tex]. Shown below:
[tex]Sin(\theta)=\frac{7}{9}\\\theta=Sin^{-1}(\frac{7}{9})\\\theta=51.06[/tex]
Rounded to 1 decimal place, that is
51.1°
2nd answer choice is right.
