Question

What is the distance to the Earth's Horizon from point P? Enter enter the decimal in the Box round only your final answer to the nearest tenth.

Answer 1

Answer:

The distance to the Eath's Horizon from point P is 352.8 mi, approximately.

Step-by-step explanation:

You observe the problem from a graphical perspective with the image attached.

Notice that side $x$ is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.

We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.

The hypothenuse is 3959 + 15.6 = 3974.6 mi.

$(3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8$

Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.