Question

PLEASE HELP I WILL MARK BRAINLIEST !!!! William looks from a height of 30 yards at the top of their apartment building. They line up the top of a flagpole with the curb of a street 40 yards away. If the

flagpole is 24 yards from the apartment building, how tall is tthe flagpole

Answer 1

Answer:

12 yards

Step-by-step explanation:

From. The picture attached, we could obtain the angle of elevation, θ from the curb of the street to the top of the building.

Using trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = 30 yards

Adjacent = 40 yards

Tanθ = 30/40

θ = tan^-1(0.75)

θ = 36.869897°

Distance between curb of street and flagpole :

(40 - 24) yards = 16 yards

Let height of flagpole = h

Tanθ = opposite / Adjacent

Opposite = h yards

Adjacent = 16 yards

Tan36.869897 = h/16

0.75 = h / 16

h = 0.75 * 16

h = 12 yards