Question

larry and time were standing next to each other in the backyard when Tom challenged Larry to guess how tall he is. Larry knee his own height is 6.5 feet, and when they measured their shadows, Larry’s shadows was 8 feet long and toms was 7.75 feet long. What is toms height? Round to the nearest tenth

Answer 1

Answer:

6.3 feet

Step-by-step explanation:

Let the height of Tom be $x$ feet.

Let $h_{L}$ be height of Larry,  $s_{L}$ be shadow height of Larry and  $s_{T}$ be shadow height of Tom.

As per question,

$h_{L}=6.5\textrm{ ft}\\s_{L}=8\textrm{ ft}\\s_{T}=7.75\textrm{ ft}$

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.

$\frac{x}{h_{L}}=\frac{s_{T}}{s_{L}}$

Now, plug in the values and solve for $x$.

$\frac{x}{6.5}=\frac{7.75}{8} \\ x=\frac{7.75}{8}\times 6.5=6.3$

Therefore, the height of Tom is 6.3 feet.