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Mathematics, 24.04.2020 03:27 paige1616

The diagram shows Earth represented by circle O , a satellite at point B , and AB¯¯¯¯¯¯ tangent to circle O . AB is 21,800 mi. The radius of Earth is about 4,000 miles. What is the approximate distance from the satellite to the surface at point C ? Explain.
The image shows Earth represented by circle with centre O, a satellite is placed at point B and AB is tangent to the circle. O and B are joined which is having point C marked on circumference. Points O and A are joined.

A. 18,164 miles; AB¯¯¯¯¯¯ is a tangent and OA¯¯¯¯¯¯ and OC¯¯¯¯¯¯ are radii. Use the Pythagorean Theorem to find BO and subtract OC to find the distance the satellite is from the surface.
B. 22,164 miles; AB¯¯¯¯¯¯ is a tangent and OA¯¯¯¯¯¯ and OC¯¯¯¯¯¯ are radii. Use the point of tangency theorem to find the distance the satellite is from the surface.
C. 17,430 miles; AB¯¯¯¯¯¯ is a tangent and OA¯¯¯¯¯¯ and OC¯¯¯¯¯¯ are radii. Use the Pythagorean Theorem to find BO and subtract CB to find the distance the satellite is from the surface.

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