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3 years ago

In DEF, FE = 3 and m angle F = 37, Find DE to the nearest tenth.

Mathematics

1 answer:

diamong [38]3 years ago

8 0

We know that
in the right triangle DEF
tan F=opposite side angle F/adjacent side angle F
where
angle F=37°
opposite side angle F=DE
adjacent side angle F=FE-----> 3 units
so

tan F=DE/FE--------> DE=FE*tan F------> DE=3*tan 37-----> DE=2.26----> 2.3 units

the answer is
DE is 2.3 units

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