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.

Question

asked May 20, 2019 150k views

2 Answers

Oved D · Answer 1 · 2019-05-26T01:20:50+0000

Answer:

284.4

Explanation:

Given is a picture of a circle as earth and radius = 3959 mi.

THe horizon is the tangent with length unknown x

The hypotenuse of the right triangle is 3959+10.2 = 3969.2 mi.

Hence we get

x using Pythagorean theorem

$x^2+3959^2=3969.2^2\\x^2= 10.2(7928.2)\\x=284.37$

Round off to nearest 10th

Since ii digit after decimal is 7 >5 we add 1 to the digit after decimal

Answer is 284.4