Respuesta :
The distance between both the ship and the lighthouse's base is 328 feet.
What is considered as angle of depression?
If a line of sight is slightly down from the horizontal line, it forms an angle with the horizontal line. If the object being observed is below the observer's level, the angle formed between both the horizontal line and also the observer's lines of sight is known as the angle of depression.
Given the circumstances, a right angle triangle is constructed. The lighthouse's height represents the right angle triangle's opposite side.
The adjacent side of a right angle triangle is represented by the horizontal distance, h, between both the ship and thus the base of the lighthouse.
Because they are opposite angles, is if angle of depression to the fire is 26°, the angle of elevation of a lighthouse from the ship is also 26°.
To calculate h, we would use
the trigonometric tangent ratio;
Tan θ = opposite side/adjacent side. Therefore,
Tan 26 = 160/h
h = 160/tan26 = 160/0.4877
h = 328 feet
Therefore, the distance between the ship and the base of the light house is 328 feet.
To know more about angle of depression, here
https://brainly.com/question/27865363
#SPJ4
