Traditional Culture Encyclopedia - Weather forecast - Meteorological satellites located above the earth monitor the formation and development of weather systems in a certain area of the earth. As shown in the figure, when the satellite S is located on th

Meteorological satellites located above the earth monitor the formation and development of weather systems in a certain area of the earth. As shown in the figure, when the satellite S is located on th

Meteorological satellites located above the earth monitor the formation and development of weather systems in a certain area of the earth. As shown in the figure, when the satellite S is located on the surface of the earth, Let the center of the circle where AB is located be point O and connect OB.

Let ∠ Bos = n, from the meaning of the question, we can know that SB is tangent to ⊙O,

∴SB⊥OB,

∫ 1730= 6400πn 180, that is, 1730 = 6400? 3. 14? n 180,

∴n≈ 15.5,

Therefore, in Rt△OBS, cos∠BOS= OB OS,

∴OS = ob cos 15.5 = 6400 cos 15.5≈6642

∴sa=so-ao=6642-6400=242≈2.4× 10 2。

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