## The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. The diagra

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.

If the angle formed by the tangent satellite signal is 154°, what is the measure of the intercepted arc on Earth?

26°

52°

77°

308°

in progress
0

All
7 months
2022-04-25T05:05:04+00:00
2022-04-25T05:05:04+00:00 1 Answer
0
## Answers ( 1 )

To solve the question, we draw a circle representing a great-circle section of the earth, with satellite at a point S above earth. Draw tangents from S to he circle, and from points A and B, to the center C.

Hence:

AC and BC are radii, and

SAu22a5AC and SBu22a5BC

u2220ASB=154u00b0

making the angular measure of the intercepted arc:

u2220ACB=180-154=26u00b0

Answer: 26u00b0