Question

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

Answer 1

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