Yayainous4750 Yayainous4750

12-02-2022
Mathematics

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Find the unknown side lengths and angle measures.
Round the lengths to the nearest tenth and the angle measures to the nearest degree.

Find the unknown side lengths and angle measures Round the lengths to the nearest tenth and the angle measures to the nearest degree class=

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xenia168 xenia168

12-02-2022

Answer:

Step-by-step explanation:

m∠D = 90° - 51° = 39°

sin E = [tex]\frac{DE}{DF}[/tex] ⇒ DE = DF × sin E

DE = 18 sin51° ≈ 14.0 ft.

cos E = [tex]\frac{EF}{DF}[/tex] ⇒ EF = DF × cos E

EF = 18 × cos51° ≈ 11.3 ft.

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