Answer:
Therefore the measurement of EF,
[tex]EF=1.98\ units[/tex]
Step-by-step explanation:
Given:
In Right Angle Triangle DEF,
m∠E=90°
m∠D=26°
∴sin 26 ≈ 0.44
DF = Hypotenuse = 4.5
To Find:
EF = ? (Opposite Side to angle D)
Solution:
In Right Angle Triangle DEF, Sine Identity,
[tex]\sin D= \dfrac{\textrm{side opposite to angle D}}{Hypotenuse}\\[/tex]
Substituting the values we get
[tex]\sin 26= \dfrac{EF}{DF}=\dfrac{EF}{4.5}[/tex]
Also, sin 26 ≈ 0.44 .....Given
[tex]EF = 4.5\times 0.44=1.98\ units[/tex]
Therefore the measurement of EF,
[tex]EF=1.98\ units[/tex]
