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Mathematics 16 Online
OpenStudy (anonymous):

Can someone PLEASSEE help me with some geometry questions?

OpenStudy (anonymous):

Sure, what is the question :)

OpenStudy (anonymous):

A space shuttle is 50 miles above Earth. An astronaut on the shuttle sees the sun rise over Earth. To the nearest mile, what is the distance from the astronaut to the horizon? (Hint: Earth’s radius is about 4,000 miles.)

OpenStudy (anonymous):

Does it mention how fast the shuttle is traveling?

OpenStudy (anonymous):

The shuttle, the point on the horizon and the center of the earth create a right triangle with right angle where the radius intersects the tangent line from the shuttle to the horizon. The radius is 4000 and the hypotenuse from the center of the earth to the shuttle is 4000+50. Let d be the distance from the shuttle to the horizon. By the Pythagorean Theorem we have then: 4050^2 = 4000^2 + d^2 d^2 = 4050^2 - 4000^2 Solve for d. Does this help? :P

OpenStudy (anonymous):

Yes! Thank you so much! Can you help me with more?

OpenStudy (anonymous):

Sure!

OpenStudy (anonymous):

Oh my goodness thank youu!

OpenStudy (anonymous):

Lol yw

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