(2007? Suizhou) A meteorological satellite S located above the earth monitors the formation and development of weather systems in a certain area on the earth. As shown in the figure, when the satelli

(2007? Suizhou) A meteorological satellite S located above the earth monitors the formation and development of weather systems in a certain area on the earth. As shown in the figure, when the satellite

Answer: Solution: Let the center of the circle where AB is located be point O and connect OB.

Suppose ∠BOS=n°. From the meaning of the question, we can know that SB is tangent to ⊙O, < /p>

∴SB⊥OB,

∵And 1730=6400πn180, that is, 1730=6400?3.14?n180,

∴n≈15.5°,

So in Rt△OBS, cos∠BOS=OBOS,

∴OS=OBcos15.5°=6400cos15.5°≈6642,

∴SA=SO-AO =6642-6400=242≈2.4×102．

Answer: The height of satellite S from the earth's surface is about 2.4×102km.