Question

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?

Answer 1

Answer:

The angle is $5.0^{0}$.

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 = $\frac{opposite}{hypotenuse}$

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

Sin θ = $\frac{35}{400}$

Sin θ = 0.0875

θ = $Sin^{-1}$ 0.0875

  = $5.02^{0}$

The angle made by the rope with respect to the ground is approximately $5.0^{0}$.