Answer:
3 meters
Step-by-step explanation:
First, you figure out if the triangles are similar. Then, you figure out what the corresponding parts are. Use the relation that corresponding sides are proportional in order to write an equation for q. Solve it.
The angles in ΔDCE are marked the same as the angles in ΔDFB. We have named these triangles in order by the right angle, the angle with 1 arc, and the angle with 2 arcs. The lengths we are given are DC, DF, and DB, and we want to find length DE.
Arranging our equation so the unknown value is in the numerator of a proportion statement, we have ...
DE/DB = DC/DF
q/12 = 4/16
q = 12(4/16)
q = 3 . . . . meters
