Find the gcf of the expression c^2-64

c

2

−

64

Rewrite  

64

as  

8

2

.

c

2

−

8

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

c

and  

b

=

8

.

(

c

+

8

)

(

c

−

8

)

The required distance away from the foot of the tree is 238.0 feet.

Step-by-step explanation:

The height of the redwood tree = 340 feet, and the angle of elevation to its top = .

let the required distance be represented by x, applying the appropriate trigonometry function, we have;

Tan θ =

Tan =

⇒ x =

      =

      = 238.062

x = 238.0 feet

The required distance away from the foot of the tree is 238.0 feet.