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 signals is 115 degrees, what is the measure of the intercepted arc on Earth?thank you :)

Answer 1

SOLUTION

From the given figure, the measure of the intercepted arc is:

$180^{\circ}-115^{\circ}$

This gives

$180^{\circ}-115^{\circ}=65^{\circ}$

Therefore the required answer is:

$65^{\circ}$