Answer:
9
Step-by-step explanation:
The answer is 1.144. You can find the answer key in Khan acadmy or even on quizlet
Answer:
Base of the ladder is 3 meters away from the building.
Step-by-step explanation:
Let's use Pythagoras theorem to solve.
Pythagoras theorem says,

Here let horizontal distance is "a''
Vertical distance of window is 4 m
So, b=4
The Rafi leans 5 m ladder against the wall. So, c=5.

Simplify it

Subtract both sides 16

Take square root on both sides
a=±3
So, base of the ladder is 3 meters away from the building.
Rationalize both the numerator and denominator. Given

we can rationalize it by introducing conjugates of the numerator and denominator:

Then the limit is equivalent to

For the remaining expression, divide through uniformly by
:

As <em>n</em> goes to infinity, the remaining terms containing <em>n</em> converge to 0, leaving

making the overall limit 3.