SOLUTION: A ferris wheel is 136 feet tall. It casts a 34-foot shadow. What is the height of a nearby man that casts a shadow of 1.5 feet? The man is __________ feet tall.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A ferris wheel is 136 feet tall. It casts a 34-foot shadow. What is the height of a nearby man that casts a shadow of 1.5 feet? The man is __________ feet tall.      Log On

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Question 1138999: A ferris wheel is 136 feet tall. It casts a 34-foot shadow. What is the height of a nearby man that casts a shadow of 1.5 feet?
The man is __________ feet tall.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem is "on proportions".


If you have two objects (buildings, trees, persons, flagpoles) with the heights  H%5B1%5D  and  H%5B2%5D,  

that cast shadows of the lengths L%5B1%5D  and  L%5B2%5D, respectively, these values are connected with a proportion


    H%5B1%5D%2FL%5B1%5D = H%5B2%5D%2FL%5B2%5D.


In your case,


    136%2F34 = x%2F1.5.


From this proportion, find the unknown x, which is the man's height


    x = %28136%2A1.5%29%2F34 = 6.


ANSWER.  The man is 6 ft tall.

Solved.

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