Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40' Building Als 120 feet away, and building B is 60 feet away which building is taller and by approximately how many feet? Building A It is around 100 69 feet taller than building B
Building A it is around 50 34 feet taller than building B
O Building B, it is around 100.69 feet taller than building A
Building B, it is around 50.34 feet taller than building A

A. Building A, it is around 100.69 feet taller than building B.

Step-by-step explanation:

Since building A is 120 feet away at and elevation of , then:

Tan =

Where x is the height of the building at the horizontal plane.

x = Tan   × 120

   = 100.692 feet

For building B at the same elevation,

Tan   =

 x = Tan   × 60

    = 50.346 feet

Since the angle of elevation are the same, building A is around 100.69 feet taller than building B.

89

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.