Linda is flying two kites. she has 99 feet of string out to one kite and 112 feet out to the other kite. the angle formed by the two strings is 39° as shown in the figure below. find the distance between the kites

71.49134 feet

Step-by-step explanation:

Side a = 112

Side b = 99

Side c = 71.49134

Angle ∠A = 80.37° = 80°22'11" = 1.40272 rad

Angle ∠B = 60.63° = 60°37'49" = 1.0582 rad

Angle ∠C = 39° = 0.68068 rad

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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.