In ΔDEF, the measure of ∠F=90°, the measure of ∠E=32°, and FD = 9.6 feet. Find the length of EF to the nearest tenth of a foot.

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Answer:

[tex]EF=15.4\ ft[/tex]

Step-by-step explanation:

we know that

In the right triangle DEF

[tex]tan(E)=\frac{FD}{EF}[/tex] ----> by TOA (opposite side divided by adjacent side)

substitute the given values

[tex]tan(32^o)=\frac{9.6}{EF}[/tex]

solve for EF

[tex]EF=\frac{9.6}{tan(32^o)}=15.4\ ft[/tex]

Answer:

EF=15.4 ft

Step-by-step explanation:

I got it right on delta math so ig its right

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