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

284.4 is the answer I just took the test

Answer 2

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