If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?

Step-by-step explanation:

If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?

We are to find the angle of elevation which is calculated using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = 1454'

Adjacent = 206

tan θ = 1454'/206

because they could drop even lower..

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3