Akite is flying on 39 feet of string. how high is it above the ground if it’s height is 22 feet more than the horizons distance from the person flying it. assume that the string is being held at ground level.

about 36.3 feet

Step-by-step explanation:

Let x represent the height of the kite in feet. Then (x-22) is the horizontal distance to the kite. The Pythagorean theorem tells you the string length is related to these distances by ...

... 39² = x² + (x-22)²

... 2x² -44x -1037 = 0 . . . . rearrange to standard form

Using the quadratic formula, the positive solution is ...

... x = (-b+√(b²-4ac))/(2a) . . . . for a=2, b=-44, c=-1037

... x = (44 + √((-44)² -4(2)(-1037)))/(2·2)

... x = 11 + √639.5 ≈ 36.288

The kite is about 36.3 feet above the ground.

option: d is correct

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.