Answer: 72 inches
Explanation:
Given : The number of calories k needed each day by a moderately active woman who weighs w pounds, is h inches tall, and is a years old can be estimated by the formula given below.
![k=917+6(w+h−a)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fxqn97d6zzfpjjoz7bvnoktbzjvlhv5aka.png)
When w= 119 lb , a = 21 years , and k = 1937 calories, then we substitute all these values in the above function , we get:-
![1937=917+6(119+h−21)\\\\\Rightarrow\ 1937=917+6(98+h)\\\\\Rightarrow\ 6*98+6* h=1937-917\\\\\Rightarrow\ 588+6h=1020\\\\\Rightarrow\ 6h=1020-588\\\\\Rightarrow\ 6h=432\\\\\Rightarrow\ h=(432)/(6)=72](https://img.qammunity.org/2020/formulas/mathematics/high-school/uebvl217zxobjbhgshdi85m460os1h0glv.png)
Hence, he is 72 inches tall.