Answer: OPTION C.
Step-by-step explanation:
Observe the triangle ABC attached.
Notice that the angle of depression is represented with [tex]\alpha[/tex].
Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of [tex]\alpha[/tex] by using arctangent:
[tex]\alpha= arctan(\frac{opposite}{adjacent})[/tex]
In this case you can identify that:
[tex]opposite=260\\adjacent=270[/tex]
Therefore, substuting values into [tex]\alpha= arctan(\frac{opposite}{adjacent})[/tex], you get that the angle of depression is:
[tex]\alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°[/tex]
