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

Given:
Friend      MeanMAD
Hazem         9.8    3.6
Keith          11.2    3.4

Mean = total number of songs / 12 months
total number of songs = mean * 12 months
Hazem: 9.8 x 12 = 117.6 songs
Keith: 11.2 x 12 = 134.40 songs

C. Keith downloaded more songs per month than Hazem did.