A pilot flying due east out of Denver sees on the plane's radar that a major thunderstorm is
directly in the plane's path. The pilot turns 35°
to the left of his intended course and continues
on this new flight path. After avoiding the worst
of the storm, he turns 45° to the right of the new
course and flies until returning to his original
intended line of flight. The plane reaches its
original intended course at a point 80 kilometers
from the start of the detour.
a. Draw a sketch of this situation.
b. How much farther did the aircraft travel due to the detour?

i dont get

Step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.