Question

The summit of Mt. McKinley is about 20,320 feet above sea level. Earth's radius is about 3950 miles. To the nearest mile,what is the distance from the summit to the horizon?
f)67mi
g)174mi
h)1633mi
j)3950mi

Answer 1

You have to convert everything into miles and then draw the tangent line that goes from the peak of the mountain to the horizon.  That can form a right triangle since tangent lines are perpendicular to the radius at the point they touch the circle.  then you can solve for the horizon which is one of the legs of the right triangle.  when you do everything it should end up being 174 miles.  I will attach my work so you can try to decipher what to do.

I hope this helps.