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

27 foot or 324 inches

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*6=72` inches.

we have the ratio of the height of football player to the shadow is
`(72)/(16)`

Length of shadow in inches is
`12*6=72` inches.

Now, let the height of the bleachers be h.

So, the ratio of bleachers height to the shadow is
`(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,

`(h)/(72) =(72)/(16)`

`\implies h=(72*72)/(16)`

`\implies h=36*9`

`\implies h=324` inches or
`(324)/(12)=27` foot

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