See attachment for math work and answer.
Answer:
4/40
Step-by-step explanation:
you can reduce this to 1/10
multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

for any
, so the above is the same as

Similarly, we can write

Now it's a question of reducing the fraction as much as possible. We have
so

Tan(angle) = opposite leg/ adjacent leg
Tan(30) = x/22
X = 22 * tan(30 )
X = 12.701 feet.
Round as needed