Asatellite is 13,200 miles from the horizon of earth. earth’s radius is about 4,000 miles. find the approximate distance the satellite is from the earth’s surface. the diagram is not to scale.

13,793 miles
17,200 miles
9,793 miles
16,552 miles

There are several information's already given in the question. It will be easier to get the answer, if we write all the details down first.

AB = 13200 miles
AO = 4000 miles
OB = 4000 miles
Let us assume CB = x
Then

(x + 4000)^2 = (13200)^2 + (4000)^2
x = sqrt(13200^2 + 4000^2) - 4000
   = 13793 - 4000
   = 9793 miles.
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the third option.