Answer:
Height of building from base to ladder = 5.8 meter (Approx.)
Step-by-step explanation:
Given:
Length of ladder = 6 meters
Distance of ladder from base = 1.5 meters
Find:
Height of building from base to ladder
Computation:
Perpendicular = √Hypotenuse² - Base²
Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²
Height of building from base to ladder = √6² - 1.5²
Height of building from base to ladder = √36 - 2.25
Height of building from base to ladder = √33.75
Height of building from base to ladder = 5.8 meter (Approx.)
If 
is the first number in the progression, and 
is the common ratio between consecutive terms, then the first four terms in the progression are
We want to have
In the second equation, we have
and in the first, we have
Substituting this into the second equation, we find
So now we have
Then the four numbers are
Answer:
Step-by-step explanation:
2^0 is less than or equal to 1!, because 1<= 1
if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since
(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0
