Determine the approximate value of

group of answer choices

38.9

51.1

37.9

52.1

51.1°

Step-by-step explanation:

This question asks for the approximate value of the angle

It is at E.

Looking at the right triangle (right angle at F), we can see, with respect to the angle :

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:

We will need a calculator to solve for . Shown below:

Rounded to 1 decimal place, that is

51.1°

2nd answer choice is right.

51.1

Step-by-step Explanation:

Step 1:

Data obtained from the question. This includes:

From the diagram,

Opposite = 7

Hypothenus = 9

Angle θ =?

Step 2:

Determination of angle θ. This is illustrated below

Sine θ = Opp/Hypo

Sine θ = 7/9

Sine θ = 0.7778

θ = Sine^-1(0.7778)

θ = 51.1

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.