Question

Find the length of the longest pole that can be placed in an indoor stadium 24 m long, 18 m wide and 16 m high

Answer 1

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Answer 2

So,

This is a problem from 3d and straight lines

Now,

We can express the pole in vector term as,

24x + 18y +16z

So,

Length of the diagonal formed will be,

=√( 24² + 18² + 16²)

=√1156

=34

So,

the length of the largest pole that can be placed will be 34m

Hope this helps !!!!!!!!!!!!!!