In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
Triangle D E F with measures as described in the text.

What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53

Given:

In right triangle DEF, ∠E is a right angle, m∠D = 26°, and DF = 4.5

We need to determine the measurement of EF

Measurement of EF:

The measurement of EF can be determined using the trigonometric ratio.

Thus, the formula is given by

Substituting , and

Thus, we have;

Since, it is given that sin 26° ≈ 0.44

Substituting the value of sin in the above equation, we get;

Multiplying both sides of the equation by 4.5, we get;

Thus, the measurement of EF is 1.98

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

29 is the correct answer

step-by-step explanation: