Question

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? A. 39. B. 90. C. 51. D. 45.

Answer 1

The rope, pole, and ground form a right triangle with sin(θ) = opposite/hypotenuse = 7/9.
θ = sin⁻¹(7/9) ≈ 51°.

Answer: C.