Answer:
y = 6
Explanation:
You solve by using the pythagorean theorem, which is:
![a^(2) +b^(2) =c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k7qt5wkjzyq5o063duwhj1rojahhnrxc3q.png)
Where a and b are legs of the triangle, and c is the hypotenuse, or y in this case. So let's rearrange this equation for c:
![c=\sqrt{a^(2) +b^(2) }](https://img.qammunity.org/2022/formulas/mathematics/high-school/ym0sin625qtmykymv72h970hoq9bssgt3c.png)
Now, we can substitute in the known values and solve:
![c=\sqrt{3.6^(2) +4.8^(2) } = √(36) = 6](https://img.qammunity.org/2022/formulas/mathematics/high-school/obi2wopfyzznjmi24c7g0v4dr1aw45s2zj.png)
Therefore, the value of y is 6
Hope this helps!