30 ft cable extends from the floor of the lookout of a fire tower. the cable is anchored to the ground 18 ft away from the base of the tower. what is the height of the floor of the lookout tower?

The height of the tower is 24 ft.

Step-by-step explanation:

Consider the provided information,

The cable length is given as 30ft.

The distance of cable anchored to the ground is 18ft.

And we need to find the height of the tower.

We can find this with the help of Pythagorean theorem.

Where a and b are the legs and c is the hypotenuse.

Now substitute a=18 and c=30 and solve for b as shown.

Hence, the height of the tower is 24 ft.

45

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.