Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3
substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=15.026 m
c=2*y-----> c=2*15.026----> c=30.052 m
the answer is30.05 m
X^2+12x+6=0 subtract 6 from both sides...
x^2+12x=-6 halve linear coefficient, square it, and add it to both sides...
x^2+12x+36=30 now the left side is a perfect square...
(x+6)^2=30 take square root of both sides...
x+6=30^(1/2) subtract 6 from both sides...
x=-6-30^(1/2) and -6+30^(1/2)
Given:
Number of people bought tickets for comedy = 
Number of people bought tickets for horror = 
Number of people bought tickets for kids movie = 
To find the number of people who bought tickets for the action movie.
Let us take,
Total number of tickets = 1
Now,
Total number of tickets for comedy, horror and kids movie are = 
So,

LCM of 5,4,10 = 20
= 
= 
Rest are action movie's tickets.
Therefore,
Number of action movie tickets = 
= 
= 
Hence,
The number of people who bought the tickets for action movie is
.