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

The angle is
`5.0^(0)`.

Explanation:

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

Sin θ =
`(opposite)/(hypotenuse)`

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

Sin θ =
`(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)`.