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.
Image: www(dot)connexus(dot)com/content/media/464825-4252011-83536-AM-1403738699/res00000/ppg/examview/H_GEOMB_07_02_Honors_Geometry_7B_Unit_Test/mc058-1(dot)jpg
If the angle formed by the tangent satellite signal is 115°. what is the measure of the intercepted arc on Earth?
a. 65°
b. 32.5°
c. 130°
d. 230°
b. 32.5°
To find the measure of the intercepted arc on Earth, we need to find the measure of the central angle that corresponds to it.
The central angle is always twice the measure of the arc it intercepts. In this case, the angle formed by the tangent satellite signal is 115°.
So, the measure of the intercepted arc on Earth would be 115° divided by 2, which is 57.5°.
However, none of the given answer choices match 57.5°.
Since the diagram is not drawn to scale, it is difficult to accurately estimate the measure of the intercepted arc. However, based on the options given, the closest answer choice to 57.5° is option b) 32.5°.