Question

A 20 foot cable is attached to the ground from the top of a telephone pole. If it reaches the ground 13 feet from the base of the pole, what is the angle created between the ground and the cable?

Answer 1

Ответ:

60.87 degrees

Объяснение:

To find the angle created between the ground and the cable, we can use the Pythagorean theorem. Let's call the angle "x". Then, we have:

20^2 = 13^2 + (20 * sin(x))^2

Expanding the right side of the equation and solving for sin(x), we get:

sin(x) = sqrt(400 - 169) / 20

Taking the inverse sine (arcsin) of both sides, we get:

x = asin(sqrt(231) / 20)

Finally, converting from radians to degrees:

x = asin(sqrt(231) / 20) * 180 / pi

x = approximately 60.87 degrees.

So the angle created between the ground and the cable is approximately 60.87 degrees.