Question

A 6-foot-tall scarecrow in a farmers field casts a shadow that is 21 feet long. a dog standing next to the scarecrow is 2 feet tall. How long is the dogs shadow?

Answer 1

Step-by-step explanation:

The shadow of the dog is 7 feet long.

Step-by-step explanation:

Given:

Height of the scarecrow is 6-foot-tall and it casts a shadow that is 21 feet. Height of the dog is 2 feet tall.

So, here we need to find the dog's shadow.

Let the shadow of dog be x

So, if the 6-foot-tall scarecrow casts shadow of 21 feet, then the 2 feet tall dog casts shadow of x feet.

According to question:

\frac{6}{21} = \frac{2}{x}

By cross multiplication:

6\times x = 2\times 21

6x = 42

Now, dividing by 6 on both sides we get:

x = 7

• Therefore, the shadow of the dog is 7 feet long.