A kite string is 35m long. The angle the string makes with the ground is 50o .
How far from the person holding the string is a person directly under the kite?

22.50m

Step-by-step explanation:

With the ground, the horizontal ground distance is the adjacent side, so by SOHCAHTOA, the ratio used is cosine, i.e.

Ground distance

= hypotenuse * cos(50°)

= 35 cos(50°)

= 35*0.64279

= 22.50m

10000000000000000000000000000000

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.