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weqwewe [10]
3 years ago
13

Help on math? :)

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
1. Let O be the center of the sphere, A the tangency point and B the location of the satellite. (as in the figure below)

2. Join B to O. M(ABO)=\frac{1}{2}m(B)=(1/2)*138°=69°.


3. m(OAB)=90° as a radius to a tangency point is perpendicular to the tangent at that point. 

4. m(AOB)=180°-90°-69°=21°.

5. check picture 2. Arc AM is equal to the measure of the central angle AOM = 21°.

6. The measure of the intercepted arc is 21°*2=42°

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