Question 1163512
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Make a sketch.  Draw the Earth sphere section as a circle.


Over the Earth surface, place a dot to show the plane.


Connect the center of the circle with this dot.


Draw a tangent from this dot to the circle.


The length of this tangent segment is "how far Cameron sees the horizon".


Draw the radius from the center of the circle to the tangent point.


You have now the right angled triangle.


Its hypotenuse is the distance from the center of the Earth to the plane.


One of the legs is the Earth radius.


Find the value of the Earth radius from the Internet.


Then apply the Pythagorean theorem to find the value under the question.


When you complete your calculations, you may post them to the forum - I will look and check them.


If you have questions, do not hesitate to ask me.


I will look forward to hear from you.



Happy calculations (!)




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A  TWIN  problem to it is under this link


<A HREF=https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1163367.html>https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1163367.html</A>


https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1163367.html



I solved it couple of days ago.



By the way, you may find there the value of the Earth radius, too.



Do not forget to post your "THANKS" to me for my teaching.