Equations A will find the height of the lighthouse. Option A is correct.
What is trigonometry?
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
(d)distance from the boat to the lighthouse =115 meters
Θ is the angle of elevation = 42"
h is the height
Apply the tangent formula in the obtained triangle;
[tex]\rm tan x^0 = \frac{y}{115^0} \\\\ tan 42''=\frac{y}{115} \\\\ tan 42'' = \frac{y}{115}[/tex]
The equations will find the height of the lighthouse is;
[tex]tan 42'' = \frac{y}{115}[/tex]
Hence, option A is correct.
To learn more about trigonometry, refer to the link https://brainly.com/question/26719838
#SPJ1