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The interantional space station orbits earth at an altitude of 240. What is the distance fro the space station to earths horizon to the nearest mile?
Wiki User
∙ 14y ago
This is hard to go through without a drawing, but let's try it: Draw the earth as a circle, with a center. Indicate the ISS with a dot. Draw a line from the earth's center to the ISS. Draw a line from the ISS tangent to the earth's surface. Draw the radius from the earth's center to the ISS horizon (the tangent point). A corollary in geometry tells us that a radius is perpendicular to a tangent. This is very helpful ... we know we have a right triangle. Hypotenuse is the line from the center to the ISS; its length is (earth radius)+(ISS altitude) = 3,970+240 = 4,210 miles. One leg = earth radius = 3,970 miles Other leg = distance from ISS to the horizon = sqrt[ hypotenuse2 - leg2 ] = sqrt(42102-39702) = 1,401 miles (rounded)
Wiki User
∙ 14y ago
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