Final answer:
Your friend is 5.4 feet tall.
Step-by-step explanation:
To find the height of your friend, we can set up a proportion using the given information.
You are 6 feet tall and cast a 10-foot shadow, while your friend casts a 9-foot shadow.
Let's call your friend's height 'x'.
The proportion we can set up is: 6/10 = x/9.
We can cross-multiply and solve for x, which gives us 6 * 9 = 10 * x.
Simplifying this equation gives us 54 = 10x.
Dividing both sides by 10, we find that x is equal to 5.4.
Therefore, your friend is 5.4 feet tall.