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scZoUnD [109]
3 years ago
9

Can someone please help me with this?

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

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.

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