Answer:
To find the length y from the given right anled triangle.
Since the given triangle is right anled triangle,
we have the following,
![\sin \theta=\frac{opposite\text{ side}}{hypotenuse}](https://img.qammunity.org/2023/formulas/mathematics/college/nxhe3b94se5y068xrdhy5i6q5ycc9m2bu1.png)
Let,
hypotenuse =14
opposite side=y
Substitute the values we get,
![\sin 30\degree=(y)/(14)](https://img.qammunity.org/2023/formulas/mathematics/high-school/qcvemg2ikb3a2nv2nx945ap4duw1809nro.png)
we know that, sin 30=1/2
Using this we get,
![(1)/(2)=(y)/(14)](https://img.qammunity.org/2023/formulas/mathematics/high-school/268324zlt4kjjpjcwmrtlzix6g185c6zj3.png)
![y=(14)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/e0bk2d8j4uxk5o0j7ay1g3c0iho81t3j8b.png)
![y=7](https://img.qammunity.org/2023/formulas/mathematics/high-school/qmzjxs9n81nzpzex2mk1rq9vxez2e6ehmu.png)
Answer is: option D: 7