Question
The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. The diagram is not drawn to scale.A sphere is shown with two points unlabeled. One line lies on the sphere connected through the unlabeled point. A second line lies on the sphere connected through the second unlabeled point. The lines connect at a point labeled satellite.If the angle formed by the tangent satellite signals is 126°, what is the measure of the intercepted arc on Earth?(1 point)Responses252°252°108°108°63°63°54°
Answers
GPT 3.5
To find the measure of the intercepted arc on Earth, we first need to find the central angle that corresponds to the angle formed by the tangent satellite signals.
The central angle is always double the angle formed by the tangent satellite signals. So the central angle is 2 * 126° = 252°.
The measure of the intercepted arc on Earth is equal to the measure of the central angle. Therefore, the measure of the intercepted arc on Earth is 252°.
So the correct answer is 252°.
The central angle is always double the angle formed by the tangent satellite signals. So the central angle is 2 * 126° = 252°.
The measure of the intercepted arc on Earth is equal to the measure of the central angle. Therefore, the measure of the intercepted arc on Earth is 252°.
So the correct answer is 252°.