Question

A 6 foot tall football player casts a 16 inch shadow at the same time the stadium bleachers cast a 6 foot shadow how tall are the bleachers

Answer 1

I believe its 27.75. I wouldn't take my word for it though.

Answer 2

Answer:

27 foot or 324 inches

Step-by-step explanation:

Given: A 6 foot tall football player casts a 16 inch shadow. At the same time the stadium bleachers cast a 6 foot shadow.

To find: how tall are the bleachers

Solution:

It is given that a 6 foot tall football player casts a 16 inch shadow.

So, the height of the footballer in inches is $12\times6=72$ inches.

we have the ratio of the height of football player to the shadow is $\frac{72}{16}$

Length of shadow in inches is $12\times6=72$ inches.

Now, let the height of the bleachers be h.

So, the ratio of bleachers height to the shadow is $\frac{h}{72}$

Since, at the same time the stadium bleachers cast a 6 foot shadow. So, the ratio of height of bleachers to the shadow is same as the ratio of the height of football player to the shadow.

On solving,

$\frac{h}{72} =\frac{72}{16}$

$\implies h=\frac{72\times72}{16}$

$\implies h=36\times9$

$\implies h=324$ inches or $\frac{324}{12}=27$ foot

Hence, the height of bleachers is 324 inches or 27 foot.