In the diagram below, IJK~ ILM. Find n.

(KJI lengths: 17 ft, n)
(LMI lengths: 30 ft, 34 ft)

Since the triangles IJK and ILM are similar, their corresponding sides are in proportion.

Thus, we have:

IJ/IL = JK/LM

n/30 = 17/34

n = 30 * 17 / 34

n = 15

Therefore, n = 15 ft.