Answer: 72 inches
Step-by-step 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.
[tex]k=917+6(w+h−a)[/tex]
When w= 119 lb , a = 21 years , and k = 1937 calories, then we substitute all these values in the above function , we get:-
[tex]1937=917+6(119+h−21)\\\\\Rightarrow\ 1937=917+6(98+h)\\\\\Rightarrow\ 6\times98+6\times h=1937-917\\\\\Rightarrow\ 588+6h=1020\\\\\Rightarrow\ 6h=1020-588\\\\\Rightarrow\ 6h=432\\\\\Rightarrow\ h=\dfrac{432}{6}=72[/tex]
Hence, he is 72 inches tall.
