Problema Solution
Two scuba divers are 20m apart below the surface water. They both spot a shark that is below them. The angle of depresion from diver 1 to the shark is 47° and the angle of depression from diver 2 to the skark is 40°. How far are each of the divers from the shark?
Answer provided by our tutors
let
a = the distance of the first diver to the shark
b = the distance of the second diver to the shark
using the Law of Sines we have:
a / (sin(40) = 20 / (sin(180 - (40+47))
by solving we find:
a = 12.87 m
click here to see the step by step solution of the equation:
b / (sin(47)) = 20 / (sin(180 - (40+47))
by solving we find:
b = 14.65 m
click here to see the step by step solution of the equation:
the first diver is 12.87 meters from the shark.
the second diver is 14.65 meters from the shark.