6. Solve the problem. How close must a fireman place a 40-foot ladder to reach a cat stuck atop a 24-foot tree? (Find the distance from the base of the ladder to the tree.)
0 32 ft
0 16 f
64 ft
46.65 ft

32

Step-by-step explanation:

we have in this case  right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

50-60=10

step-by-step explanation: