The measure of the intercepted arc on Earth can be found using the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the intercepted arc.
Since the angle formed by the tangent satellite signals is 135°, the intercepted arc on Earth would be twice that, so:
Intercepted arc = 135° * 2
Intercepted arc = 270°
Therefore, the measure of the intercepted arc on Earth is 270°.
Therefore, the correct answer is 270°.
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.
If the angle formed by the
tangent satellite signals is
135°, what is the measure of
the intercepted arc on Earth?
(1 point)
22.5°
45°
90°
270°
1 answer
4 answers