Chapter 6.2, Problem 28E

From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A ship suddenly appears on the horizon. If Manny is $80\text{ft}$ above the earth, how far is the ship out at sea?

(HINT: See Exercise 27 and note that $1mi=5280ft$.)

An airplane reaches an altitude of $3\text{mi}$ above the earth. Assuming a clear day and that a passenger has binoculars, how far can the passengers see?

(HINT: The radius of the earth is approximately 4000 mi.)