Answer: 15 cm
Explanation:
Given : The total height of all three of Thumbelina’s sisters is 60 cm.
The heights of the three sisters are in the ratio 4:3:5 .
Let the heights of the three sisters are 4x , 3x and 5x.
According to the question , we have the following equation :-
![4x+3x+5x=60\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=(60)/(12)=5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b8rhk12girhyaklbrz2kydlxcevwrcnufn.png)
Now, the height of the shortest sister will be :-
![3x=3(5)=15\ cm](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q09s7cc09c0ih3vqicx7u09gkq7j0hvvnj.png)
Hence, the height of the shortest sister = 15 cm