Thursday

August 21, 2014

August 21, 2014

Posted by **Javier** on Friday, February 22, 2008 at 6:32pm.

(a) Find an equation that relates d and h.

(b) If d is to be 3500 miles, how high must the camera orbit above Earth?

(c) If the camera orbits at a height of 400 miles, what distance d on the surface can be seen?

- Math Application -
**Reiny**, Friday, February 22, 2008 at 8:11pmsurely you could have looked up the radius of the earth for us, which is needed to do the question.

- Math Application -
**tchrwill**, Saturday, February 23, 2008 at 9:44amA space camera circles the Earth at a height of h miles above the surface. Suppose that d distance, IN MILES, on the surface of the Earth can be seen from the camera.

(a) Find an equation that relates d and h.

(b) If d is to be 3500 miles, how high must the camera orbit above Earth?

(c) If the camera orbits at a height of 400 miles, what distance d on the surface can be seen?

Draw a circle with center O. Locate a point C outside the circle.

Draw lines from point C to the tangency points on both sides of the circle.

The arc length between these two tangency points is the distance "d" visible to the camera.

With the earth's radius of 3963 miles. the central angle between the two tangency points is defined by µ = (2)arccos(3963/h + 3963))º.

Therefore, the visible distance "d" = Rµ, where µ is in radians.

This should enable you to find the other two answers you seek.

**Related Questions**

Mathematics - A space camera circles the Earth at a height of h miles above the ...

TRIG - please help two questions h t t p : / / w w w . j i s k h a . c o m / d i...

trig - A surveillance satellite circles the earth at a hight of h miles above ...

algebra - the weight of a body above the surface of earth varies inversely with ...

algebra - the weight of a body above the surface of earth varies inversely with ...

Algebra - The gravitational force between an object & the Earth is inversely ...

Math - Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths ...

Math - Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths ...

math 15 - find the minimum height above the surface of the earth so that the ...

algebra - The force of gravity is inversely proportional to the square of the ...