Answer:
6.4
Step-by-step explanation:
The given triangle is a Right Angled Triangle with right angle at E.
So, measure of angle E = 90 degrees
measure of angle D = 62 degrees
measure of side FE = 12
We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.
[tex]\textrm{Tangent of angle}=\frac{Opposite}{Adjacent}\\\\tangent(62)=\frac{FE}{DE}\\\\tangent(62)=\frac{12}{DE}\\\\DE=\frac{12}{tangent(62)}\\\\DE=6.4[/tex]
Therefore, the value of DE, rounded to nearest tenth is 6.4
