Question

et 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°.

Answer 1

Correct. For the angle between the vertical pole and the rope:

tan θ = (horizontal)/(vertical) = 6/8 = 3/4
θ = arctan(3/4) ≈ 36.8699° → rounded: 37°.

(If you measured the angle between the rope and the horizontal instead, it would be arctan(8/6) ≈ 53°.)