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42 votes
42 votes
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.

User Monda
by
3.1k points

2 Answers

24 votes
24 votes

Answer:

14.2 ft

Explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

hope it helped you

User Levininja
by
2.9k points
22 votes
22 votes

Answer:

17.4

Explanation:

\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}

tanD=

adjacent

opposite

=

7.4

x

\tan 67=\frac{x}{7.4}

tan67=

7.4

x

7.4\tan 67=x

7.4tan67=x

Type into calculator and round to the nearest tenth of a foot.

User Enrique Flores
by
3.3k points