Answer:
Approximately 11.5 units.
Explanation:
We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.
Now, like last time, use the Law of Sines:
![(\sin(V))/(v)=(\sin(W))/(w)=(\sin(X))/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fpouvkc6243qw2udr9y3h79nhjw3pznu99.png)
We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for x.
![(\sin(144))/(w)=(\sin(21))/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7odlupeky6d8yz8lk3j780x8wp4f3rihxe.png)
Cross multiply:
![7\sin(144)=w\sin(21)\\w=(7\sin(144))/(\sin(21)) \\v\approx11.4812\approx11.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/k8to39yrl41of6fnnh4vst8v65yvijowb7.png)