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?

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?

Answer 1

To find the angle formed between the ground and the rope using the inverse of sine, we use the equation:

Angle = sin^(-1)(opposite/hypotenuse)

The opposite side is 7 feet (the height of the pole), and the hypotenuse is the length of the rope, which is 9 feet. Plugging these values into the equation, we have:

Angle = sin^(-1)(7/9)

Using a calculator, we find:

Angle ≈ 52.3 degrees