In order to solve this, we can use the trigonometric ratio of the cosine, which is given by the following expression:
![\cos \theta=(ac)/(h)](https://img.qammunity.org/2023/formulas/mathematics/college/l965s0afvfmunf6t7r14a6bw8he8hs9xm0.png)
Where ac is the adjacent leg to the angle θ and h is the length of the hypotenuse. By replacing 37° for θ, 17.3 for ac and x for h, we get:
![\cos 37=(17.3)/(x)](https://img.qammunity.org/2023/formulas/mathematics/college/h6f2dewnwnv4cqy8qzwkbolzccmqt4wuno.png)
From this expression, we can solve for x to get:
![x=(17.3)/(\cos 37)\approx21.7](https://img.qammunity.org/2023/formulas/mathematics/college/gtuf85g5k59l53g3tidl8g7rqo9pfdhb4s.png)
Then, x = 21.7