Question

Rico secures a vollyball-net pole to the ground with a rope that is attached to the top of the pole and
creates a diagonal distance to the ground. The volleyball-net pole creates a 90 angle to the ground. If
the pole is 8 feet hight and Rico ties the rope 6 feet from the base of the pole, what is the angle formed
between the top of the pole and the rope?
Show all your work in order to receive full credit for the problem, including your original equation and
your answer rounded to the nearest whole number. You may use the button to upload a picture of
your work, or type it out.

Answer 1

Let θ be the angle between the vertical pole and the rope (measured at the top of the pole). The triangle formed is right with vertical side 8 ft and horizontal side 6 ft, so

tan θ = (opposite)/(adjacent) = 6/8 = 3/4.

θ = arctan(3/4) ≈ 36.8699°.

Rounded to the nearest whole number: θ ≈ 37°.