A6 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

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 inches.

we have the ratio of the height of football player to the shadow is

Length of shadow in inches is inches.

Now, let the height of the bleachers be h.

So, the ratio of bleachers height to the shadow is

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,

inches or foot

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

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step-by-step