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? (1 point)  

Responses
39°

45°

90°

51°

Answer 1

Let θ be the angle between the ground and the rope. In the right triangle, sin θ = opposite/hypotenuse = 7/9, so

θ = sin⁻¹(7/9) ≈ 51°.

Answer: 51°.