Respuesta :
The measurement of EF is 1.98
Explanation:
Given that DEF is a right angled triangle.
Also, given that ∠E is a right angle, m∠D = 26° and DF = 4.5
We need to determine the measurement of EF.
The measurement of EF:
The measurement of EF can be determined using the trigonometric ratios.
Thus, we have,
[tex]sin \ \theta= \frac{opp}{hyp}[/tex]
where [tex]\theta= 26^{\circ}[/tex], [tex]Opp= EF[/tex] and [tex]hyp = DF[/tex]
Substituting the values, we have,
[tex]sin \ 26=\frac{EF}{4.5}[/tex]
Multiplying both sides by 4.5, we get,
[tex]sin \ 26 \times 4.5=EF[/tex]
Also, given that sin 26° = 0.44
Thus, substituting the value, we get,
[tex]0.44\times 4.5=DF[/tex]
[tex]1.98=EF[/tex]
Thus, the measurement of EF is 1.98
