The ship is 1578.32 far from the base .
- Elevation is a common concept related to height and distance, especially in trigonometry.
- It is defined as the angle between the horizontal plane and the oblique line from the observer's eye to the object above the eye. Finally, this angle is formed above the surface. As the name suggests, the elevation is formed above the viewer's eyes.
- The tangent law, also called the tangent formula or tangent rule, is the ratio of the sine of an angle to its cosine or it is represented by [tex]tan\theta=\frac{Perpendicular}{Base}[/tex] .
The diagram of the question is given below.
It is given that height of the lighthouse is 218 ft and the angle of depression to a ship in the ocean is 14°.
Let the distance of BC be "x"
From the diagram ,
[tex]tan\ 14=\frac{x}{218} \\\\7.24=\frac{x}{218}\\\\x=7.24\times218\\\\x=1578.32[/tex]
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