A mountain climber stands at the top of Mount Everest at an altitude of 8848 meters above sea level and looks to the horizon.

a) How far away ( in miles) is the horizon that the climber sees? We are looking for the straight line distance from the climber's eyeball to the point on the horizon, not the distance along the surface of the Earth. Assume the earth is a sphere of radius 3957 miles.

b) Find the distance (in miles) along the surface of the Earth from the point on the horizon to a point at sea level directly beneath the climber.

1. A mountain climber stands at the top of Mount Everest at an altitude of 8848 meters above sea level and looks to the horizon. a) How far away (in miles) is the horizon that the climber sees? We are looking for the straight-line distance from the climber's eyeball to the point on the horizon, not the distance along the surface of the Earth. Assume the Earth is a sphere of radius 3957 miles. b) Find the distance (in miles) along the surface of the Earth from the point on the horizon to a point at sea level directly beneath the climber