Question

A person standing at the top of mountain aconcagua would be approximately 4.3 mi high. the radius of earth is 3959 mi. what is the distance to the horizon from this point? enter your answer as a decimal in the box. round only your final answer to the nearest tenth. mi

Answer 1

the answer is 184.6 hope this helped (:

Answer 2

The height of the person and mountain, the radius of the earth, and the distance to the horizon formulate a relationship of Pythagorean theorem.  

Thus , hypotenuse = sum of the radius of the earth and the height of the person and mountain.

C = 3959 mi + 4.3 mi

   = 3963.3 mi

C2 = A2 + B2

B=√C2−A2

B =√(3963.3 mi)2−(3959)2

B =184.6 mi

The distance to the horizon is 184.6 mi