You see a distant office tower that you know to be 860 feet tall. if you measure its angular size to be 3.5 degrees, how far away from the building are you

The given angular size of the building can also be reported as the angle of elevation. In the triangle formed by the edges of the parameters given, the distance from the person to the building is the adjacent side of the triangle and the opposite side is given to be 860 feet.

Let the unknown distance be x. The trigonometric function that allows us to solve the unknown is,

    tan (3.5°) = 860 ft / x ft

           0.06116  = 860 ft / x ft

The value of x from the equation is 14060.88.

Hence, the person is 14060.88 ft away from the building.

4

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.