Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason: [tex]\frac{opposite}{hypotenuse}[/tex]
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin(26°) = [tex]\frac{EF}{4.5}[/tex]
0.44 = [tex]\frac{EF}{4.5}[/tex]
0.44 × 4.5 = EF
1.98 = EF
