Answer:
n = 16
Explanation:
LO is parallel to MN since they both make a right angle with KM.
Therefore, triangles KLO and KMN are similar triangles.
As corresponding sides of similar triangles are always in the same ratio:
KL : KM = LO : MN
From inspection of the given diagram:
- KL = 30
- KM = 30 + 15 = 45
- LO = n
- MN = 24
Substitute the values into the ratio and solve for n:






Therefore, the value of n is 16.