Answer:
![\huge \boxed{\mathrm{3.91 \ m}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/7ykvsscyrdxm8d8hl87yuqy33pngl7ubhm.png)
Explanation:
The triangle is a right triangle.
The hypotenuse length of the right triangle is not given.
We can use Pythagorean theorem to solve for the hypotenuse.
![c=√(a^2 +b^2 )](https://img.qammunity.org/2021/formulas/mathematics/high-school/q4bxwwrke574399e62g9dyiu6fdzg05qje.png)
c is the hypotenuse length of the right triangle.
a and b are the legs of the right triangle.
![x=√(3^2 +2.5^2 )](https://img.qammunity.org/2021/formulas/mathematics/high-school/hdf0wl1n8owq23c1sz1q4zvcemk4p61ei0.png)
Evaluate and solve for x.
![x=√(9+6.25)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3dq89ywjwv9cqo5i422zbahxo1pya7s3ti.png)
![x=√(15.25)](https://img.qammunity.org/2021/formulas/mathematics/high-school/azg7etz6ff5pz7dy887avv60ehb8tg3se1.png)
![x= 3.905125...](https://img.qammunity.org/2021/formulas/mathematics/high-school/zycswazcnn5as9kg1ns7m88myr3oa4o90b.png)