Answer: 2ft 8in
Step-by-step explanation:
Convert to inches - 6ft 8in ----> 6 x 12 + 8 = 80
Divide - 80/2 = 40
Subtract - 40 - 6 = 32
Height of the shorter tree is [tex]2[/tex] feet and [tex]12[/tex] inches.
Relationship between feet and inches is [tex]\boldsymbol{1}[/tex] feet = [tex]\boldsymbol{12}[/tex] inches.
Height of taller tree [tex]=6[/tex] feet and [tex]8[/tex] inches
[tex]=6(12)+8[/tex]
[tex]=\boldsymbol{80}[/tex] inches
As the shorter tree is [tex]6[/tex] inches shorter than half the height of the taller tree,
Height of the shorter tree [tex]=\frac{1}{2}(80)-6[/tex]
[tex]=\boldsymbol{34}[/tex] inches
[tex]=2[/tex] feet and [tex]10[/tex] inches
So, height of the shorter tree is [tex]\boldsymbol{2}[/tex] feet and [tex]\boldsymbol{12}[/tex] inches.
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