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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°

The farthest distance a satellite signal can directly reach is the length of the segment-example-1
User Rohitmohta
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2 Answers

3 votes

Answer:

A. 26

Explanation:

Just took the test!

User Inopinatus
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3 votes
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
SA⊥AC and SB⊥BC
∠ASB=154°
making the angular measure of the intercepted arc:
∠ACB=180-154=26°

Answer: 26°
User Jstaab
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