Question

Can someone please help me with this?

Answer 1

e = 29.0 will be the answer.

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* \text{sin}(35)}{\text{sin}(30)}`

d = 18.35

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

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

e = 29.002

e ≈ 29.0

Therefore, e = 29.0 will be the answer.