Answer:
22.39
Step-by-step explanation:
angle D + angle F + angle E = 180 (angle of triangle)
30 +60 + E = 180
E = 180 - 90
E = 90
so triangle DEF is right angled triangle
we know that,
sin 30 = EF /DF
OR, 1/2 = 6/ DF
OR, DF= 12
again,
cos 30 = De/DF
root3 /2 = DE /12
DE= 10.39
hence DF +DE
= 12 + 10.39
= 22. 39
