Given:
Length of the truck = 80 cm
Width of the truck = 60 cm
To find:
The longest walking stick that can be placed in the bottom of a truck.
Solution:
The longest walking stick that can be placed in the bottom of a truck is the diagonal of the truck.
We know that, the diagonal of a rectangle is:
![d=√(l^2+w^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/e2svgzzv5il3x7bei1hgmdpy16zz4njdvg.png)
Where, l is the length and w is the width.
Putting
and
, we get
![d=√((80)^2+(60)^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/jnhf30pdr6ig1u3ngn10pk427nv999pjro.png)
![d=√(6400+3600)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1xbtt21ixewg98nk5cqlzb9ftw8n7u71rn.png)
![d=√(10000)](https://img.qammunity.org/2022/formulas/mathematics/high-school/2zlwrpqz8vlfc5oiocw0exbdlqlwx6d67z.png)
![d=100](https://img.qammunity.org/2022/formulas/physics/college/tnf4czptq8naj4jc9a9l42d0z0b83cmg73.png)
Therefore, the length of the longest walking stick that can be placed in the bottom of a truck is 100 cm.