Step 1 :Let's denote Sharon's original height as \(x\). According to the problem, she grew 3 cm, which is 2% of her original height. So we can write the equation as \(0.02x = 3\).
Step 2 :Solving this equation for \(x\), we get \(x = \frac{3}{0.02} = 150.0 \, cm\). This is Sharon's original height.
Step 3 :Sharon's new height is her original height plus the growth, which is \(150.0 \, cm + 3 \, cm = 153.0 \, cm\).
Step 4 :\(\boxed{153.0}\) cm is Sharon's new height after she grew during the summer.