Jessica sets up a volleyball net in her backyard. To secure the net in place, she extends a rope from the top of each of the two poles at a diagonal to the ground. Once the poles are placed in the ground, they are 7 feet tall; the rope she uses is 9 feet long. Using the inverse of sine, what is the approximate angle formed between the ground and the rope?
90°
51°
45°
39°
To find the angle formed between the ground and the rope, we can use the inverse sine function (sin^-1) with the side opposite the angle (7 ft) divided by the hypotenuse (9 ft).
sin^⁻1(7/9) ≈ 51°
Therefore, the approximate angle formed between the ground and the rope is 51°.