Answer:
6.3 feet
Step-by-step explanation:
Let the height of Tom be [tex]x[/tex] feet.
Let [tex]h_{L}[/tex] be height of Larry, [tex]s_{L}[/tex] be shadow height of Larry and [tex]s_{T}[/tex] be shadow height of Tom.
As per question,
[tex]h_{L}=6.5\textrm{ ft}\\s_{L}=8\textrm{ ft}\\s_{T}=7.75\textrm{ ft}[/tex]
As both Tom and Larry are standing next to each other,
So, the ratio of height of Tom to that of Larry will be equal to the ratio of shadow height of Tom to that of shadow height of Larry.
[tex]\frac{x}{h_{L}}=\frac{s_{T}}{s_{L}}[/tex]
Now, plug in the values and solve for [tex]x[/tex].
[tex]\frac{x}{6.5}=\frac{7.75}{8} \\ x=\frac{7.75}{8}\times 6.5=6.3[/tex]
Therefore, the height of Tom is 6.3 feet.