sin^2 x + 4 sinx +3       3 + sinx
--------------------------  =  -------------------
cos^2 x                        1 - sinx
factor the numerator
(sinx +3) (sinx+1)       3 + sinx
--------------------------  =  -------------------
cos^2 x                        1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1)       3 + sinx
--------------------------  =  -------------------
1- sin^2x                       1 - sinx
factor the denominator
(sinx +3) (sinx+1)       3 + sinx
--------------------------  =  -------------------
(1-sinx ) (1+sinx)                   1 - sinx
cancel the common term (1+sinx)  and (sinx +1)
(sinx +3)                       3 + sinx
--------------------------  =  -------------------
(1-sinx )                           1 - sinx
reorder the first term
3+sinx                           3 + sinx
--------------------------  =  -------------------
(1-sinx )                           1 - sinx
 
        
             
        
        
        
Answer:
Actual Height = 27.11 m
Step-by-step explanation:
Given:
Height of model rocket = 4.5 % of actual Height
Model Height = 1.22 m
To Find:
Actual Height of rocket = ?
Solution:
We have to Find the Actual Height of the rocket 
Let actual height be x
Now it is given that
Height of model rocket = 4.5 % of actual Height
As we have the values so putting it in it becomes
1.22 = 4.5 % * x
it could be written as

Multiplying both sides by 
it becomes
1.22* = x
 = x
 = x
 = x
27.11 m =x
or
Actual Height = 27.11 m
 
        
             
        
        
        
M = 4
Because the base of log is 10 
10,000 is 10*4, and we know that log 10,000 =4, so M=4