A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the rope with respect to the ground?

Respuesta :

Answer:

The angle is [tex]5.0^{0}[/tex].

Step-by-step explanation:

The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;

Sin θ = [tex]\frac{35}{400}[/tex]

Sin θ = 0.0875

θ = [tex]Sin^{-1}[/tex] 0.0875

  = [tex]5.02^{0}[/tex]

The angle made by the rope with respect to the ground is approximately [tex]5.0^{0}[/tex].