Question

Find the length of BC. A) 8 B) 12 C) 16 D) 18

Answer 1

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 =
`tan^(-1)` (
`(EG)/(EF)`). 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 =
`(2)/(3)` * 18 and finally we can get BC = 12.