Answer:
195.168 m
Step-by-step explanation:
To find the magnitude of the vector you can use the Pythagorean Theorem since you have the height and base and the vector is really just the hypotenuse
Pythagorean Theorem:
![a^2+b^2=c^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/fdnnfwrccw5g60jmi691r5gcz9ekxf8waa.png)
Plug values in
![88.4^2+174^2=c^2](https://img.qammunity.org/2023/formulas/physics/college/pgv3uho1xj1i8rkohn7zo7495tq5fq4sbk.png)
Simplify
![7814.56+30276=c^2](https://img.qammunity.org/2023/formulas/physics/college/zibvceokw17zexn9vs81anzzi59khyjmm8.png)
Add the two values
![38090.56=c^2](https://img.qammunity.org/2023/formulas/physics/college/baloy41o8bq6kjqq1h396lujoeg7v7vxz6.png)
Take the square root of both sides
![195.168\approx195.168](https://img.qammunity.org/2023/formulas/physics/college/53fdqb13dfxt0886b07a9l0cu8nm54xikb.png)