What is the cube root of 27what is the factorization of 216x^12 - 64

Answers:

1) 27 is the same as multiplying three times three times three:

   (1)

Now, the cube root of 27 can be written as:

   (2)

Knowing the information given by (1) we can rewrite (2) as:

Applying the rule of exponents with the same base, which in this case is 3:

Finally:

2) We have the following expression:

That can be factored by taking the common factor, which in this case is 8:

Then:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,