Answer
5 feet 7 inches.
Work Step by Step
Step 1. Given a recommended weight of $135$ pounds, we know $100$ pounds is for the first 5 feet, leaving $135-100=35\ lb$ for the additional height.
Step 2. As every 5 pounds corresponds to 1 inch above 5 feet, we have $\frac{35}{5}=7\ in$. Thus the total height is $5'7"$, or in words, 5 feet and 7 inches.