Answer:
![y = 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/acoo9469po7wyuqrdt46fqzahwmx3ebgvr.png)
Explanation:
Given the above right angled triangle, we would use a trigonometric ratio formula to find y.
Given angle = 30°
Hypotenuse = 6
Opposite side = y
Solve for y using the trigonometric ratio formula as follows:
![sin(X) = (opposite)/(hypotenuse)](https://img.qammunity.org/2021/formulas/mathematics/college/yp13xr6d1o87gtzkpw59krlo8jtqhp5twf.png)
![sin(30) = (y)/(6)](https://img.qammunity.org/2021/formulas/mathematics/college/2ljhyygo4bipe6qcnpmyvksqrk4bn83u30.png)
Multiply both sides by 6
![sin(30)*6 = (y)/(6)*6](https://img.qammunity.org/2021/formulas/mathematics/college/c79ne2mtil6hc8eayligg56cq2xmk02ccu.png)
![0.5*6 = y](https://img.qammunity.org/2021/formulas/mathematics/college/6b8orka8al6c6qyi91txf7ab0rzn1nsqmw.png)
![3 = y](https://img.qammunity.org/2021/formulas/mathematics/college/clxdc4z909ldaxi4lef3gb7yhhvfah1o9v.png)
![y = 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/acoo9469po7wyuqrdt46fqzahwmx3ebgvr.png)