Question 1137570: a building that is 45 ft tall casts a shadow that is 30 ft long. nearby, heather is walking her standard poodle, which casts a shadow that is 2.5 ft long. how tall is heather's poodle?
Answer by ikleyn(52781)   (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  and  ,
what cast shadows of the lengths  and  , respectively, these values are connected with a proportion
 =  .
In your case,
 =  .
From this proportion, find the unknown x, which is the poodle height
x =  =  =  = 3.75.
ANSWER. The poodle is 3.75 ft tall.
Seems too tall ?
- Ask the author of the problem, why he assigned such input numbers.
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On proportions, see the lessons
- Proportions
- Using proportions to solve word problems
- Using proportions to solve word problems in Physics
- Using proportions to solve Chemistry problems
- Using proportions to estimate the number of fish in a lake
- HOW TO algebreze and solve these problems using proportions
- OVERVIEW of lessons on proportions
in this site.
These lessons were written specially for you.
Read them and become an expert in this area.
Start from the very first lesson.
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.
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On poodles, see this Internet page
https://www.akc.org/dog-breeds/poodle-miniature-standard/
The Toy Poodle stands up to 10 inches tall, and weighs about six to nine pounds.
The Miniature Poodle stands 11 to 15 inches tall and weighs 15 to 17 pounds.
The Standard Poodle stands 15 inches and taller (usually 22 inches); males weigh 45 to 70 pounds and females weigh 45 to 60 pounds.
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