A 6ft tall man casts a 10ft shadow next to his 4ft tall daughter how long is her shadow ? I Don't Get The Question

Picture this:

A 6ft tall man casts a 10ft shadow

4ft tall daughter.

How long is her shadow?

Set up a proportion

6/10 = 4/x

Cross multiply and solve for x.

To understand the question, let's break it down step by step:

1. We have a 6ft tall man.
2. He casts a 10ft shadow.
3. Next to him is his 4ft tall daughter.
4. The question is asking for the length of her shadow.

To figure out her shadow length, we can make use of proportions.

Proportions allow us to compare the heights of objects and their respective shadows. In this case, we can set up the following proportion:

Height of Man / Length of Man's Shadow = Height of Daughter / Length of Daughter's Shadow

Let's plug in the given values:

6ft / 10ft = 4ft / x

To solve for x, the length of the daughter's shadow, we can cross-multiply:

6ft * x = 10ft * 4ft

6x = 40ft

Now, divide both sides by 6 to isolate x:

x = 40ft / 6

x ≈ 6.67ft

So, the length of the daughter's shadow is approximately 6.67ft.