Answer :
The value of x is 10.
Explanation :
Given that,
TM = (2x+8) m
ML = (3x-2) m
If a man (M) is standing halfway between a tree (T) and a lamppost (L).
The half distance is TM and half distance is TL.
So, Both half distance will be equal.
We need to calculate the value of x
Using given data
[tex]TM=ML[/tex]
Put the value into the formula
[tex]2x+8=3x-2[/tex]
[tex]2x-3x=-8-2[/tex]
[tex]-x=-10[/tex]
[tex]x=10[/tex]
Hence, The value of x is 10.