Fahim is 6 feet tall. at noon, he stands with the sun behind him casting a shadow. the distance from the top of fahim’s head to the furthest tip of the shadow is 13 feet. [not drawn to scale] what is the length of fahim’s shadow? round to the nearest tenth of a foot. 7.0 feet 8.5 feet 11.5 feet 14.3 feet

 11.5 feet

Step-by-step explanation:

Given: The height of Fatim = 6 feet

At noon, he stands with the sun behind him casting a shadow. Also, Fatima is standing vertical to the ground such that a right triangle is formed.

Let the length of Fahim’s shadow be x.

By Pythagoras theorem , we have

Hence, the  length of Fahim’s shadow =11.5 feet

answer: -8.2562234e+13

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.