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28-06-2018
Mathematics

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In DEF, FE = 3 and m angle F = 37, Find DE to the nearest tenth.
A. 6.2
B. 2.3
C. 12.3
D. 0.8

In DEF FE 3 and m angle F 37 Find DE to the nearest tenth A 62 B 23 C 123 D 08 class=

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calculista calculista

07-07-2018

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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