Problem Solving. Show complete detailed solution.

Question

Suppose that you are on a salvage ship in the West Philippine Sea. Your sonar has located a

sunken Spanish galleon at a distance of 683 meters from your ship with an angle of 27°52′.

How far must you sail to be directly above the galleon ?

Answer 1

27 degrees 52 minutes = about 27.8667 degrees

construct a right triangle with 683 meters as the hypotenuse

base = 683cos27.8666... = about 603.798 meters to be directly above the sunken ship

depth = 683sin27.8666.. = about 319.245 meters = distance below the surface

by the Pythagorean Theorem

603.798^2 = 683^2 - 319.245^2

36457 = 466489 - 101917