Answer:
The question has missing figure, the figure is in the attachment.
The length of wood needed to replace AD is .
Step-by-step explanation:
Given;
ABC is a triangle in which AB is of 12 inches in length.
∠DCB = 30° ∠ACD = 15°
Solution,
In ΔABC, BC=12 in
∠ACB = ∠DCB + ∠ACD =
tan∠ACB =
Now in ΔDCB,
∠DCB = 30° and BC=12 in
tan∠DCB =
Length of AD = Length of AB - Length of DB
Length of AD=
Thus the length of wood needed to replace AD is .