A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the base of the ladder round to nearest hundredth

the base of the ladder is 27.89  ft away from the building

Step-by-step explanation:

Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of being adjacent to the unknown side we are asked about (x). So, we can use the cosine function  to solve this:

which rounded to the nearest hundredth gives;

x = 27.89  ft

b is the answer that makes most sense

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.