Question

What is the distance to the earth’s horizon from point P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth

Answer 1

156.7 mi

Explanation:

Applying

Pythagoras theorem

a² = b²+c²............... Equation 1

Where c = distance to the earth horizon from point P

From the diagram in the question,

Given: a = (3959+3.1) mi = 3962.1 mi, b = 3959 mi

Substitute these values into equation 1

3962.1² = 3959²+c²

solve for c

15698236.41 = 15673681+c²

c² = 15698236.41-15673681

c² = 24555.41

c = √ 24555.41

c = 156.7 mi