Question

A satellite at point B is orbiting Earth at 2800 miles. The satellite can only send a signal over the part of Earth that is visible to the satellite, represented by arc CD. What is the measure of arc CD, the portion of Earth from which the signal is visible ? (Earths radius is approximately 4000 miles)

Answer 1

The measure of arc CD, the portion of Earth from which the signal is visible is 56°.

How to calculate the angle?

From the information given, we are told that The satellite can only send a signal over the part of Earth that is visible to the satellite.

Let the angle be a. Therefore,

Cos a = 4000/(4000 + 2800)

Cos a= 4000/6800

Cos a = 0.5882

Cos a= 56°

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