On the planet sulvania, a mountain with an elevation of 1410 feet is the highest peak on the east coast of a land mass. the summit of the mountain is the first place on the land mass to be lit by the rays of the sun.

how much sooner do the first rays of the sun touch the summit than the base of the mountain below, at sea level?

assume that one rotation of sulvania takes 24 hours and that the radius of sulvania is 2660 miles. a circle has radius 2660 miles. an arrow along the circumference points clockwise and is labeled rotation of sulvania. a sun is to the right of the circle, and the first rays from the sun form a straight line that touches point q on the circumference of the circle and then continues to point d. a radius of the circle extends from the center to point q, forming a right angle with the first rays. a second radius of the circle extends from the center to point p on the circumference of the circle and then is extended to point d. the angle between the radii is labeled theta. arc p q is labeled s. 2660 miles rotation of sulvania sun the first rays of the sun touch the summit about nothing minutes sooner than the base of the mountain below, at sea level.