Find the length of bc. a) 8 b) 12 c) 16 d) 18

The length of BC is (B) 12. 

To get the length, we must first find the angle of the triangle using the equation tan θ = opposite/adjacent then we can derive the equation for the angle as θ = (). the angle (θ) = 33.69006753. Since they are similar triangles, we can use the same equation to find the length of BC. BC = tanθ*BF; BC =  * 18 and finally we can get BC = 12.