Answer:
e = 29.0 will be the answer.
Step-by-step explanation:
Use the sine rule in the given triangle,
[tex]\frac{EF}{\text{sin}(\angle D)}=\frac{DE}{\text{sin}(\angle F)}=\frac{DF}{\text{sin}(\angle E)}[/tex]
[tex]\frac{d}{\text{sin}(35)}=\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}[/tex]
[tex]d=\frac{16\times \text{sin}(35)}{\text{sin}(30)}[/tex]
d = 18.35
[tex]\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}[/tex]
[tex]e=\frac{16\times \text{sin}(115)}{\text{sin}(30)}[/tex]
e = 29.002
e ≈ 29.0
Therefore, e = 29.0 will be the answer.
