A satellite, B, is 19,000 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.
A. 19,416
B. 13,464
C. 20,957
D. 15,416
To find the distance the satellite is from the Earth's surface, we can use the Pythagorean theorem.
Let x be the distance the satellite is from the Earth's surface.
Using the Pythagorean theorem, we have:
x^2 + 4000^2 = 19000^2
x^2 + 16,000,000 = 361,000,000
x^2 = 344,000,000
x ≈ 18,547.236
Therefore, the approximate distance the satellite is from the Earth's surface is around 18,547 miles.
The closest option to this answer is:
A. 19,416
So, the correct answer is A. 19,416 miles.