Question

What is the angle that the rope makes with the ground

Answer 1

in a right triangle as the one in the image above, you can find the value of any of the sides or the angles with the next trigonometric functions:

`\begin{gathered} \sin \theta=(o)/(h) \\ \\ \cos \theta=(a)/(h) \\ \\ \tan \theta=(o)/(a) \end{gathered}`

You have the value of:

o = 50ft

h= 75ft

You use the frist function:

`\begin{gathered} \sin \theta=(50ft)/(75ft) \\ \\ \theta=\sin ^(-1)((50)/(75)) \\ \\ \theta=41.81º\approx42º \end{gathered}`Then, the angle that the rope makes with the ground is approximately 42 degrees