Q:

A skydiver is at an altitude of 1.4 mi above the earth’s surface. From the skydiver’s viewpoint, what is the distance to the horizon?

Accepted Solution

A:
To answer this question and to solve the problem, you must apply the proccedure shown below:

 1. The diameter of the earth is:

 Diameter=12,742 km=7,917.50 mi

 2. Then, the radius of the earth is:

 Radius=7,917.50 mi/2
 Radius=3,958.75 mi

 3. Now, you must apply the Tangent Secant Theorem. Then, you have:

 x²=1.4(1,4+(2)(3,958.75))
 x²=11,086.46
 x=√11,086.46
 x=105.29 mi

 From the skydiver’s viewpoint, what is the distance to the horizon?

 The answer is: 105.29 mi