According to the given depression angle, ship is 4.4 miles apart from ship B.
Depression angle:
Depression angle refer an angle that is formed with the horizontal line if the line of sight is downward from the horizontal line.
Given,
A pilot is flying over the ocean. She determines that the angles of depression to two ships are 74° and 48° as shown in the figure below. The plane is 5 miles from the ship located at point A.
Here we need to find the distance between the two ships.
Here we know the following,
Distance between plane and Ship A = 5 miles.
And the depression angle = 74°, 48°
Let us consider the following, that they sit on a line,
So under this situations,
=> 80 - 48 - 74 = 58 degrees.
The next thing we have to do is bring this 74 degree angle inside the diagram. Because it is congruent to this interior angle because they are alternate.
Then it can be written as,
=> X = sin 7495
=> X = 4.4
Therefore, the two ships are 4.4 miles apart from each other.