Question

Can someone please help me with this?

Answer 1

Answer:

e = 29.0 will be the answer.

Step-by-step explanation:

Use the sine rule in the given triangle,

$\frac{EF}{\text{sin}(\angle D)}=\frac{DE}{\text{sin}(\angle F)}=\frac{DF}{\text{sin}(\angle E)}$

$\frac{d}{\text{sin}(35)}=\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}$

$d=\frac{16\times \text{sin}(35)}{\text{sin}(30)}$

d = 18.35

$\frac{16}{\text{sin}(30)}=\frac{e}{\text{sin}(115)}$

$e=\frac{16\times \text{sin}(115)}{\text{sin}(30)}$

e = 29.002

e ≈ 29.0

Therefore, e = 29.0 will be the answer.